The majority of US health spending is already socialized with the support of Republicans, between Medicare, Medicaid, and the health benefits provided to the armed services, veterans, and government employees. Many Republicans oppose oil subsidies, which are actually lower in the US per capita than they are in the EU. Republicans do believe in intervention by the state to improve poor communities, just through different means than government managed ghettos and welfare dependence. I don't know about the free movement part, you'd have to be more specific, because the US allows freer movement into, out of, and around the country than basically anywhere on earth, with lots of Republican support. If there are Republicans pushing back against green cards (outside of a specific issue like Chinese student visas), they're a weird fringe. Republicans aren't what you think we are.