We need to have a full discussion about exactly what is Republican, what is Conservative, what is the right and so on along with where exactly on the spectrum the Tea Party fits. Have to agree on definitions of those terms in order to analyze the issues as they fall among the groupings.
Cultural problems need to be answered through cultural action not by government fiat. Making substantive law to cover wide ranging issues follows the one size fits all mantra which we know to be false. The melting pot favored the adoption of American culture by mostly second generation immigrant families albeit often with the encouragement by the first generation. Many refused to use the old country language even at home so their children would grow up American. Many but certainly not all.
The left has indeed sold out to central planning and the administrative social-welfare state. Many of all persuasions consider that to be the norm, the way a modern state is governed. The are wrong. The national government has few powers, all enumerated and the control of immigration is one of them. The small government philosophy, held by the framers btw (as you know), limits government to those enumerated powers.
It seems more every day that the modern Right (abandoning Conservatism) has moved toward an activist agenda using the power of government to impose one of their own. That is the tactic of The Left which never shies away from imposing its will through power, law and courts by fiat. That the Right may be following suit only means that both the GOP and the Conservative Movement are passe as is the old patriotic Democrat party.