I would argue that not judging people because of something about them is impossible.
You always ''know'' people based on your experiences with them. You never know a person completely no matter what, even if its been someone you have been with for a really long time. In a sense, you know each and every person you encountered on a different level. Making some kind of judgement on someone based on your experiences with them, which could be called ''knowing someone'', is what you do all the time, even with your best friend or your mom. One day you might just learn something about you mom that would make you think of her as a completely other person. You might end up loving her or hating her to death. Those kind of judgements are not static, if I could say, but more dynamics and changing every time you are with someone.
My point is, the question of asking whether we can or can not live with this is kind of flawed in itself since we dont chose to make judgements from experience, its simply how we ''work''. One could say that the simple fact that we are here makes it possible. If it wasnt possible to live with it, we wouldnt be here talking about it.
But to actually give an answer to the question of whether it is possible or not to live with those snap judgements, I would say yes, easily. Just as I said, you never know someone completely, so you keep learning about them. Be open to what this person really is. Dont get close minded on the first experiences you get, and that goes for anything, not just human beings.
Dunno if that helps. And sry but english isnt my native language, so its quite hard to express my whole idea lol