Your last sentence is very wrong. The culture of ME votes to take from others to enrich themselves (entitlements). The culture of ME votes on the basis of a single social issue to the exclusion of all other issues affecting the long term viability of the nation (gay marriage). The culture of ME votes to extend unfair labor preferences that end up destroying employers (unions).
Republicans want freedom for all. Freedom to succeed, freedom to fail. You keep what's yours, I keep what's mine and we both pursue the American dream. That's as far from a culture of ME as one can get.