Trek's premise is that a just few hundred years in human evolution will be enough to make the human brain socially mature so that after solving the scarcity problem there won't be any crime, save for just a few villains here and there. Sadly it's pure scifi because should such a thing happen it would require no less than ten thousand years minimum, probably a lot more just to get to a significative point. Having more doesn't make a human less likely to commit a crime: a homeless who didn't eat for days could kill a passer by to steal his sandwich, a lower class citizen could do the same to steal an iPhone, a smarter one could organize bank robberies/kidnaps/drug traffic then launder the money by building a legit business etc. If being wealthy made people less likely to commit crimes we would solve all humankind problems just by putting billionaires in power seats. Having more just moves the target; that's a byproduct of the human desire to get more, which is perfectly fine if one keeps the stance of not harming others to get there.