As an atheist I have absolutely no need to have a conflict with religious people. Believe what you want.
But as others have stated, the conflict starts when someone else's religion starts dictating what I (or others not sharing it) can or cannot do.
I live in the Netherlands and even here a tiny extreme christian minority has used clever political maneuvering to keep shops closed on sunday, even though >80% of the population would like them to be able to be open on that day too.
And that's a political minority, I'd hate to live in a country where the religious bronze age mentality has actual political power and forbids unbelievers from making their own moral choices. Like when to wear a scarf or not, or the ability to have an abortion or not.