Would you rather the "holistic healer" who says only drinking green juice for a week to "detox" your kidneys make laws? Or the person who actually went to med school for 12 years.
That's a pretty idealized view: The vast majority of voters just want competent governance, with guard rails to make sure the governors don't go too far, because they (the voters) have lives to live and other things on their minds.
As to persuading voters, we should remember the joke about Islamist parties' agitation for "democracy": One man, one vote — once.
If we wanted “competent governance” we would just have China or Singapore run our country.
But yeah, "opinions are greater than facts" is technically a very democratic way to do things.