[MozarkDawg]

If you wish to be more precise in your terminology, you would not use socialist (noun) but socialistic (adjective), as a socialist is one who advocates socialism or is a member (capital S) of the party.

My dictionary defines socialized thus:

so·cial·ize (sō'shə-līz')
v. so·cial·ized, so·cial·iz·ing, so·cial·iz·es
v. tr.

1. To place under government or group ownership or control.

Socialized medicine is the proper form, not socialist(ic) medicine.

[angkor]

Well, I think you're completely missing the point (aka "the forest for the trees"), but I'll play along for a moment.

Merriam-Webster says:

* Main Entry: so·cial·ize
* Pronunciation: \ˈsō-shə-ˌlīz\
* Function: verb
* Inflected Form(s): so·cial·ized; so·cial·iz·ing
* Date: 1810

transitive verb

1 : to make social; especially : to fit or train for a social environment

2 a : to constitute on a socialistic basis b : to adapt to social needs or uses

3 : to organize group participation in intransitive verb

So, to "socialize" is indeed and as I stated, to make your dog suitable for a walk in the crowded public park, but as you said can also act as a synonym for "socialistic", which as illustrated above is a maneuver to take over an industry and "adapt [it] to social needs and uses."

So I think it's fair to say that "socialistic health care" is probably the more accurate term.

But since I am back in the forest and not counting trees, I think that "socialist health care" works just fine.