But we are not very well educated so yeah, they will doubt it for no good reason other than "it doesn't feel right"
That's a bit of an exaggeration, don't you think?
"But we are not very well educated so yeah, they will doubt it for no good reason other than "it doesn't feel right"
That's also an exaggeration. Laypersons are under no more obligation to understand the details of the scientific professions than scientists are to understand the details of, say, the legal profession. A healthy skepticism within the general public is harmless and even helpful if it maintains an interest in science. I would just gently urge people not to veer from skepticism into dogmatism.
I mean...those are pretty good reasons. If a particular theory successfully predicts more out of "a lot" of observations than any other competing theory does, and is a smaller departure from "a lot" of existing theory than any other competing theory is, would you choose to spend your career researching those competing theories?