I'm an INFJ and atheist, so it wouldn't a problem for me. My husband-to-be is an ex-Catholic who now identifies as agnostic.
I have just as many problems with aggressive, narrow minded atheists as I do with aggressive, narrow minded religious folk. Most of my friends have religious beliefs, but they're not chomping at the bit to argue so I believe and they don't attack me. There is mutual respect.
We've gotten into debates, but I take care to pay attention to where they are coming from. I'm only really argumentative and defensive when I'm faced with someone attacking me. My religious friends are very 'live and let live' types and so am I. I attend their religious ceremonies and picnics, and I'm not the kind of asshole who will make some kind of statement if people say grace around the dinner table. These things don't offend me and I don't think they are naive or stupid. To me, there ARE positive aspects to many religions, I respect and understand the comfort religion gives and how it often serves as a very, very positive guide for people to simply keep in touch with their desires to do good, to figure out how they feel, on a regular basis. I truly do admire the strong community and family aspects found in a lot of Church groups. I get a shit ton of flack for this attitude from atheist friends who are more militant about it.
Deities, religious text, and all of it just doesn't make sense to me personally and I just feel it is a man-made creation, but I'm not knocking the altruistic and positive roots of a lot of it. It's the stuff that advocates hate, discrimination, war, and excusable violence that bothers me, and when it winds up cutting off minds to possibilities, growth, and learning. I feel like I can discern the extremists from the rest. I've met a lot of angry extremists who belittle me and try to intimidate or bully me with their beliefs, but on the same token I've met just as many wonderful, giving, loving folks with religion in their lives. I don't really care if you're religious, what matters to me is character and how someone treats others. I am NOT above religious people, I just feel I'm above hateful, bullying people, and that goes for EVERYONE I meet.
I can be wary of religious folks, but I never turn my back. I get nervous about what may happen when our differences in belief come to the table, but I see it through so I may see if we can simply connect as people and form a friendship over all the things we have in common rather than what we don't. Sometimes it's just impossible because some of the things I stand for seem in direct conflict whichever religious text they follow, but many times there is mutual respect. I like the rare occasion when I see couples comprised of an atheist and a religious person. I can only think of one example right now, but that couple worked wonderfully together and their kids were very smart, loved and loving, steady, and good-natured. That's the most important thing at the end of the day, isn't it?