A socialist might object that deregulating private enterprise (and let's add lowering taxes, moving to a flat tax rate, cutting programs, etc.) is obviously not

A socialist might object that deregulating private enterprise (and let's add lowering taxes, moving to a flat tax rate, cutting programs, etc.) is obviously not socialist regardless of anything you nationalise. And they would be right! But this person, who is neither socialist nor libertarian, is obviously not a normal centrist either.