These tenses are very hard in english, even for native speakers. These both sound a little strange because it sounds like you are claiming to control the weather, so I'd use "We" instead of "It"
"We will be very hot if we go to the US next month." Everything sounds good, and your tense is right. Maybe I'd flip the sentence so it starts with if, but I think that's just taste.
For the second, the way the sentence is structured makes it sound like the past, so you'd want to use the past perfect if so. I think the issue is that the going sort of has to have happened in the past if it would have occurred. "We would be (or would have been if it's all in the past) so (sounds more natural than very) hot if we had gone to the US today" sounds more natural. "We would be so hot if we were in the US right now" sounds normal. So in some sense, your tenses are again correct in this example, I think the verb of motion just made it a little weird.