Do you pull into the intersection to make a left hand turn? (US turning)

I have gotten into plenty of arguments about how to do a left hand turn. When the light turns green, do you pull into the intersection (even if you have to wait there for a few seconds before turning), or do you wait at the stop line until it is clear to turn? I have been taught to pull into the intersection, and that is how everyone seems to do it in the “big city”, but around these parts (Wyoming), no one seems to do this. Some people will actually sit there, and then wait a whole light cycle without ever turning. It drives me bonkers.