That's quite interesting that market socialism is self-regulating.
In the American case, though, I can see a couple reasons why we'll never get the chance to test it out. The zeroth reason is that nobody even knows what socialism is here (and what they do know is worse than knowing nothing).
The first reason is that Americans believe (perhaps rightfully) that government bureaucracies are necessarily totalitarian, dehumanizing entities that suck the life out of the people they claim to serve, and are staffed with lazy, incompetent people just looking for a government paycheck, and that accepting a low paying government job is only slightly more respectable than being on welfare (exception: any public job that is potentially dangerous, e.g., military service, police, fire-fighters, etc.).
The second reason is that, however self-regulating market socialism is, I very much doubt it can regulate against sabotage by conservative voters who are committed to a self-fulfilling prophesy that government can never work. And, of course, "socialism" meaning one of two things: government replacing the private sector (clearly not what market socialism is, so perhaps then in the USA for socialism to ever succeed, you'd first need to come up with a way to talk about it without ever saying what it is), or lazy (bonus points: black) people who don't want to work taking money from rich people who provide jobs.