It depends. There have been times in my life when I saw someone else’s religious feelings as a kind of attack on me. But more recently, I see religion as serving primarily a social bonding and cohesion purpose. I see it as very useful in many ways, although very dysfunctional in some important ways and dangerous in some ways, as well.
I would never or could never be with a partner who used their religion to harm others. If they used their religion in a helpful way, then I think I could be with them, although it would be disquieting. If someone strongly believes in something irrational, it is hard for me to predict them and therefore hard to trust I know how they will behave. If their belief is more casual or based on traditions and customs (as opposed to theology or dogma), then it is more understandable to me and less threatening.
It’s the dogmatic beliefs that lead to policies like being against choice, or against social recognition of same-sex marriages, or against social support for people in poverty and on and on—that’s the kind of thing I couldn’t live with. That would be a philosophical difference that is basically evil in my opinion. It is anti-human and I don’t see how I could love someone who held religious views like that. It would be like loving a rattlesnake, I think. And I’m just not into snake handling.