Some theists seem to get the wrong impression about atheism and atheists, with regard to the extent and type of opposition to theism and religion. I think this occurs because several issues become conflated in discussions between theists and atheists. Some theists seem to think that atheists want to abolish religion or censor it; but they are confusion the following: genuine desire to stop some religious practices and privileges; the desire for a secular state; and intellectual disagreement on the validity of religious belief.
They are all issues that should be considered separately.
Opposition To Faith Schools
The objection to faith schools is because of indoctrination on young minds and the fact that one faith view is projected. Most humanist atheists want schools to be secular, which only means no religious or other world view bias (not even atheism), not the censorship of religion. We actually want education to include information about all religions and other world views and basic philosophy in a non-biased here-it-is make what you want of it sort of way. There's no requirement to impose the atheist or humanist world view above others.
My children attended a Roman Catholic school, which preached RC Christianity. Both my children said that when they compared notes with friends at a state school the coverage of other faiths was quite different. The Roman Catholic school had given feint acknowledgement to other faiths whereas the state school was more open about discussing the variations of the details of the different faiths. I don't know to what extent a difference in teachers played a part, and I've no detailed experience of other faith schools. But in principle I'm opposed to the promotion of a particular faith.
Faith schools breed division. This I know from my personal school experiences, where a predominantly CoE state school backed on to a Roman Catholic school - pupils were always at war, and though most pupils probably weren't particularly religious, the religious difference was a focus of difference. This inevitable divisiveness has also been commented on with regard to Norther Ireland many times. In Oldham there is currently a plan to form a mixed academy to replace the current Christian dominated school and Muslim dominated school in areas that resulted in race/faith/culture riots ten years ago.
The wish by atheists that religions did not exist is just that, a wish. Not necessarily that they never existed - there is no requirement to change history. The wish is that religions would begin to fade away - starting with the most obnoxious elements of each religion, because we think in the long term society will be better when it has gone. Note that isn't saying atheist humanism is the cure for all ills.
And this wish isn't expressed in any political sense. There is no way in which humanist atheists want to censor or ban religion or religious thought. The very nature of atheist humanism, or in this context secular humanism, is that the state should not be involved at all in personal world views, and that everyone should be free to choose their own world view. There are many unknowns about the universe, regarding its origins and its makeup. The God hypothesis is a reasonable one, so given the free-thought imperative of secular humanists there is no requirement to stop people believing in God.
The political desire for a secular state is not a request for censorship, it's the request for the removal of a religious bias and privilege that is already present. What's the alternative to removing bishops from the House of Lords as religious political posts? Add more bishops representing every faith in proportion to the faith adherents? Add atheists specifically because they are atheists? what about Wiccans and other belief systems? A Lord of New Age? No, the most equitable route is to remove all posts relating to religion and have people there on merit of by election - depending on the desired makeup. This then does not prevent religious leaders being members; they would simply be members for some other reason; hopefully, merit.
The wider issue of a state church is slightly less significant to me, though many British Muslims might disagree. We have a lot invested in our culture associated with our churches, armed services, state events, etc., that currently have a close association with religion. I'm in no hurry to see these go since they are quite benign, colourful and culturally of historic interest, in terms of the state. I don't, for example, have an issue with traditions that date back to more feudal times, such as the monarchy and knighthoods and so on. They just need disassociating from the executive branch of the state.
The intellectual objection to theism, as opposed to particular religious organisations that implement those theisms, is purely that, and intellectual one of the understanding of the philosophy and science of it all. Again the free-thought nature of secular humanism supports the unrestricted examination of all philosophical views and wants to engage freely in debates about these issues. Historically it has been religion that has wanted to censor views and interfere in the free thinking, free expression and free action of others that don't agree with them.
It's a bit rich for anyone associated with these ancient religions to accuse atheists of censorship - it couldn't be further from the truth for atheism, while at the same time most religions don't have a good record on censorship.
Anti-religion is the opposition to some or all religions. Personally I am strongly anti-religious when it comes to the more dogmatic religions.
There are many aspects of Islam, such as it's political desire to dominate that is such an important and freely expressed part of the religion, and the discrimination inherent in Islam against non-Muslims in Islamic state governance. These are inherent parts of Islam, given that they are stated in the Koran or Hadith. Islam would have to go through a radical change for me not to be anti-Islam. But there are many Muslims who would like to see such change, and I'd support them in that without wishing to have them give up non-political or otherwise humane aspects of their faith. If some Muslims think atheists have an unfair view of Islam then they need to start making their more moderate voices heard, not only by atheists, but by the more radical Muslims.
There are many aspects of fundamentalist Christianity that make me anti-those sects, such as the intense indoctrination of children into psychologically damaging beliefs about being sinners and being damned to hell. I am less anti-liberal-Christianity, though I do disagree with its ideas on intellectual grounds. Other atheists may have a more blanket anti-religious stance.
Atheists generally do want to stop faith schools, political privilege, any particularly unfair practices, and to work towards a secular state.
Atheists generally are willing to debate theism as opposed to atheism on intellectual philosophical grounds.
Atheists may also be happy to see the back of religion. But one of the main principles of free-though humanist atheists is the right to practice ones own belief system, and so would want to defend anyone's right to belief, as long as the practice of that belief is not contrary to the freedoms of other people.
My personal feelings is that I have no problem with self-funded religions and places of worship. I quite like some aspects of the CoE; I like to visit old churches; I enjoy some religious music, though I have no interest in the content of any songs or hymns; I like to visit grand cathedrals and mosques. I suppose my interest is atmospheric and historic. I have fond memories of some vicars from when I was young in the Boys Brigade - even our local tyrant was fair. So, other than the issues above I'm not that anti-religious.
And I enjoy a good argument.
So, in general atheists don't want to burn theists at the stake, stone them or decapitate them, or condemn them to hell or whatever the atheist equivalent might be (which according to some theists would be for them to become atheists). Live and let live - if only they all would.