...Why don't we just be specific. Is Medicaid a socialist program or not?
Personally, I think that Medicaid is, indeed, a "socialist" -like program - regardless of its merits and/or warts. Ditto for Social Security.
We have long been a "hybrid entity" - largely governed by Free Market ideals and policies, with a dash of Collectivism tossed into the pot for good measure here and there, as we've been obliged to take Group Action in a few key areas of Need on the part of The People, where there has been (nor are likely to be) privatized solutions that can be made to work.
But a Free-Market -leaning polity with a few hybrid Collectivist programs scattered about here and there are still a far cry from Nanny Statism.
Nanny Statism - playing to the unwashed Welfare Masses et al - and creating a frightful multi-generational dependency on Gubmint Cheese - is the modern Democratic mantra.
The OP merely asks whether their recent Turn At The Wheel and their next crop of upcoming candidates are sufficient to "out" the Democrats nowadays as Socialists.
It's a good question... and I'm not sure that I've even got a defensible personal opinion on the subject - but if it looks like a duck, and walks like a duck, and quacks like a duck...