If you can't get Ros's link to work for AU, try this one:
http://www.au.org/site/PageServer
AU is probably one of the less-offensive advocacy group for removal of all religion from public places, but their practices and the stances they take are every bit as 'partisan' as those who attempt for force government to establish specific religious criteria or principles. Both I think are offensive and both have much more to do with ideology than with any principle of separation of Church and State.
(I have heard it said but have absolutely nothing more than hearsay to go on that AU is not really comprised of the religious at all but hides behind the Church and a 501(3)(c) organization to give itself legitimacy; still others suggest it is a closet arm of the out-of-favor ACLU to bring pressure on the churches. It is interesting that the AU and ACLU are 100% aligned on every issue involving church and state so there could be some basis for the suspicion.)
The devil is always in perception and application, however.
One doctrine is that a woman's right to control her own body means that abortion should be safe and legal in all circumstances.
Another doctrine is that life begins at conception and whether born or unborn, a life is a life and it is mujrder to intentionally destroy it.
These separate doctrines may or may not arise out of religious belief.
I would guess most athiests agree that it is murder to intentionally destroy an innocent human life while many religious are pro choice. Many athiests (not all) believe it is murder to destroy a guilty human life while many (not all) religious think there are times when capital punishment is just and appropriate. The point being that both athiests and religious are pro choice in matters of abortion and/or capital punishment and both athiests and relgious are pro life in matters of abortion and/or capital punishment.
So does it matter whether the attorney is deeply religious or athiest when s/he makes an argument before the Supreme Court for or against Roe v Wade or for or against capital punishment? Does the attorney's motives matter? Or is the issue itself all that is important?
Should it matter whether it is Christians or Jews who like to see a marble monument of the Ten Commandments on the courthouse lawn or is it a matter of citizens of the community, who happen to be mostly Christians and Jews, who enjoy a particular work of art?
Would it matter if the majority of those who advocated leaving a community landmark in place, even one with religious overtones, were not religious at all?
I have no idea how the Supremes are going to rule, but I hope in their deliberations they come to the conclusion that it is not a presence of something religious that makes it illegal, but only what the people are required to do or believe as a result of that something religious. If there is no requirement, no expectation, and no reward, there is no First Amendment violation.