No, they are not antithetical at all. There is nothing stopping from a scientist who tries to build a model of the real world can't run for office and be a politician. There are certainly scientifically minded people in our government right now.
I think the issue is more that the type who is attracted to power tend not to be the scientist type. They are more the sociopath type that believes they are better than everyone else and whatever view they have is superior.