You're making a mistaken assumption here
You are assuming that what politicians say has anything to do with facts or even basic reality. It does not. What they say is intended not to convey facts, opinions or to argue for any particular position. What they say is intended for one thing only, which is to persuade their audience that they are the man/woman for the job. Sadly, for most people, this sort of thing bypasses intellectual functions and goes to feelings and associations which may be more powerful in determining actions.
Scott Adams (Dilbert) has pointed this out for months now. Whether or not Adams is right about humans being "moist robots," you have to give his hypothesis some attention because of the fact that he has correctly predicted the future. Back when everyone (including my good self) was laughing at the idea of a Trump presidency -- thinking a cartoon character was more likely to win -- Adams predicted that Trump would not only get the nomination, but likely win the election in a landslide. At the time I read that, I laughed and wondered what Scott was smoking. I'm not laughing anymore. A Trump presidency appears to be coming closer each day.
This is not because he makes any sense in front of a microphone or has any great ideas for policies, or LOGICALLY convinces people that he is right. His rise is because he is a master persuader. He practically hypnotizes people -- or something. Adams feels that a lot of what Trump says isn't even remotely true (e.g., Trump doesn't really have any intention of deporting every illegal alien in the US).
Adams bases his theory on his study of hypnosis. I don't know enough about hypnosis to express much of an opinion on Scott's theory from that angle, but, as I pointed out, we have watched Trump go from a "are you really serious?" sort of candidate to likely the front runner for his party. If Adams is right, for better or worse, we'll see Trump in the White House in 2017. If that happens, we can only HOPE that he's been babbling hypnotic/persuasive nonsense and not revealing what he really plans to do once he gains office.