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.
I agree, my thinking was orthogonal to what you're saying (or the other way round).
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.
Holding a PhD at the very least means you can spend a sustained long amount of time on (potentially) intractable problems and try to arrive at solutions for them. That's a good skill to have when...you've been elected to solve problems.