Since my core beliefs are in the category of adaptability, truth and rationality it's rare that I come across someone (in rl) who violates my beliefs. There are people who offend me with their beliefs, but I'm not vocal about it. If I were a good, quick thinking speaker I would argue vocally (And probably be an ENTP).
I love discussion and debate. Not fights, if someone is stupid I will "agree to disagree". For someone to make themselves valid to me they have to have a valid argument with substance or experience.
It's natural for INTPs to like discussion, if not argument. Consider our counter parts; the ENTP- the one who argues for the sake of arguing and the INTJs who see patterns and make theories that they're stubborn about unless you can truly kink their armor (or they respect you). The INFP who is loyal to their creativity and originality. And the ISTP who just wants to get it done their own way and doesn't like any bullshit. An INTP would have a little of all those traits- to varying degrees we title: "individuality".
I like some sort of conflict. Shows that people are thinking with their own minds and that there will be changes (hopefully for the benefit of all "the greater good"). I hate it when people act lovey dovey with each other and are always getting and giving compliments like it's going out of style. It makes me think they have no mind. It's depressing. That said, I am an introvert and I would never start a vocal argument, because I'm not loud or precise or good with speaking. When I have a few people I can have a discussion with, I will passively argue and bounce my ideas off them.
Obviously, I don't seek out people or arguments. If I'm with people and we get on a topic it just happens.