My ex was an atheist. There are some atheists who live and let live. And then there are atheists like my ex who feel that any kind of religious/spiritual expression is wrong. I am a Pagan and have been one for over 25 years. He knew that I was a Pagan before he married me. I worked in a New Age/Pagan shop for awhile and he accused me of being brainwashed by my coworkers and customers. If I did any kind of worshipping, I had to do it in secret or he came down on me. Badly. Fortunately, Master is agnostic and doesn't care what I believe in. I can have my pentagram on the wall, I can read my Runes in front of Him, I can openly have my Witchcraft books out, etc. I have religious freedom again.
So yes, a person's religious/spiritual beliefs would make an impact on me. If he belongs to an organized religion that is fine with me, as long as he didn't try to convert me, make me go to church or synagogue or a mosque with him. Don't ram your religion down my throat and come down on mine and we'll get along just fine.