The US will have a different president

Extrapolating from current events, it's more likely that the US will have a different system of government in four years than a different president.

Do you mean when the current POTUS is attached as VP and then the newly elected POTUS steps down to elevate him to a third term?

No.

The US has different presidents all the time

Possibly, probably. But there's zero indication current direction will change.