Short Answer: lol no
Long Answer:
In Star Trek, and other fictional post-scarcity societies, there was usually a major event of some kind (alien invasion, post-apocolyptic war, etc.) which not only killed 75%+ of the planet population, but ALL of the dregs of society as well (Roddenberry explained, explicitly, multiple times in TOS, the TOS movies, and early TNG, that the utopian future exemplified by the federation was the society that rose from the ashes of a humanity that engaged in nuclear war and widespread eugenics and genocide and spent the entirety of the 21st century and a bunch of the 22nd living more or less in Mad Max conditions.).
The only people who survived were the ones who were either ruthless enough to survive, or banded together with others and helped one another (as human tribes tend to do, really). Welfare Queens, Hobos, useless eaters, NEET's, Transgenderqueerkins? All dead as should be. Unless you find a way to deal with trash, you're gonna have nothing but a societal breakdown that will end up causing the Human species to stagnant and never move forward.
There's also the cycle in which civilized people get wiped out and get replaced by savages which has been documented and written about by sociologists since the Middle Ages starting with Ibn Khaldun. Can you imagine what a post-scarcity society of Salafists would look like?
And what do you think the Elite will do once the people they view as slaves, necessary parasites at worst, no longer benefit them? You think they will pool their resources in a post scarcity society that result in less power and resources for them, or will they just cull the beings they view as useless and maintain all the influence, power and resources with fewer people to question them?
Also we had an entire fucking series built around all the reasons why the ideal Star Trek society doesn't fucking work and isn't suited to handle all the tough problems of the galaxy... and it was the best series in the franchise.