No, not most NTs. Once in a while--very occasionally, about one in fifty people--I'll get a sense that this is a person who truly does not care about other people. I've not yet gotten this from an Aspie, but I'm sure they exist. I just haven't met enough yet. I guess you could call that a sense of "evil".
It's a hunch that has turned out to be true every time for me. Most of the time, they are high-functioning sociopaths.
It's not an ability anybody should envy me for, though. I'm pretty sure I gained it by observing a couple of sociopaths first-hand, growing up with them calling themselves "Dad". Those tendencies really trigger my alarm signals.
Oddly enough, I've found that I am usually able to interact civilly with these people. I'm quite aware that they would, if given the chance and knew they wouldn't be caught, murder someone for money or do similar things. But they have to follow social rules to avoid being detected, and if you stay in contexts where their hurting you would not be socially acceptable, you're safe.
OP, because you say you feel this from all NTs, and not just a few, I think if I were you I would question whether what you are sensing is "evil", or just "discomfort", "unfamiliarity", or some other sort of negative emotion. If you don't understand people, that naturally does set you on edge. Be careful that you do not reject or mistreat people because they trigger your "unfamiliar-and-thus-dangerous" survival system. They can't help the impression they make; and anyhow, if you think everyone is threatening, how will you know who really is, and who would be willing to help?