Theism is literally childish

[I_am_not_mafia]

do you think all atheists come to their moral positions independently, or do you think many of them go to other atheist sources for input?

I don't think many of them go to atheist sources for the moral  positions. Unlike what theists would love for everyone to believe, atheism isn't a religion.

Generally yes.

Yes to which - they switch to the left (if that's what you mean do you have evidence), or they stay right but with a change in that particular position?

Sorry, I meant to say generally yes to 'they stay mostly right, but with a more nuanced position'

Yes but not because organised religion pushed for acceptance of homosexuality but because others did. New churches, like any good business, are created to satisfy a niche in the market place.

Regardless of your speculation as to motive, you acknowledge that such theists are mature enough to analyze the world and change their positions, which goes againt your OP.

But it was not because of the infantilising influence of religious indoctrination that they acknowledged that homosexuality was not evil but because they were forced to confront the issue and their prejudices by other segments of society. Progress would have been a lot quicker without organised religion.