Ehhh, that's the flaw in the logic. Holding a PhD doesn't necessarily make you better at anything other than strictly the topic of the PhD (and sometimes not even that), maybe only following arbitrary orders from senior figures.
Seeing how many politicians are utterly corrupt and ignorant cunts certainly a parliament full of people who understand the importance of facts and capable of logical thinking is not worse than career politicians mostly skilled in the game for their team, nothing else.