Given the technology in the "Star Trek Universe," I don't know that would really be the case.
You need to remember that given the sort of technology they "have," there really aren't any economic models in our "real universe" that would actually corespond...
Imagine unlimited cheap power supplies, based on anti-matter. Combine that with the replicators they have. If you can create anything of value (gold, jewels, etc...) using a replicator, any sort of a standard economy would collapse. Nothing would haven any sort of commercial value any more.
Again this doesn't necessarily lead to marxism. But then it wouldn't lead to any sort of realistic economic model that we would have either.
Mark
Nerd alert 2: replicators cannot reproduce "gold-pressed latinum", hence its value as a currency medium in Deep Space 9.
You would still have property in the form of land, spaceships, etc.. Who controls property? Ah, the "Federation".
Picard's statement "We have eliminated the need for money, we seek to better ourselves", and the idea of global government is marxism.
Star Trek is Marxist utopia.