Then find out what makes the majority of people that share your faith, support abortion and homosexuality, and illegal immigration and vote for the liberal party, and try to get them to vote Republican instead.
Republican is not right wing. It is a bit better than the Democrat, but we have not had a true conservative political party. We may get something we can work with in the Tea Party. Like I said, I am hopeful.
The Catholics I see and interact with are conservative. The Church teaches all conservative things: traditional family, traditional sexual morality, centrality of religion to public life, self-government. American Catholics used to be blue-collar ethnics: the Irish, the Italians and the Poles who supported the Democrats because they felt that the Democrats were the party of the working class. For many of them to vote Democrat is a family tradition. This is changing, I think. In 2004 it was, everyone acknowledges, the Catholic swing block that carried Bush to victory over nominally-Catholic Kerry (remember a Catholic girl with the abortion question in the debate). In 2006 Obama knew how to hustle up Catholic support, and got some Catholic vote. I doubt he and his party would get much of that today.
I very much wish that the liberal Catholics — who oppose the Catholic Church on sexual morality, authority of the Church and women “ordination” for priesthood — would leave the Church and go to maybe Episcopalian Church that en masse shares their values. They are Catholics in name only, and their fake catholicism is dying.