The correct term, in my mind, is Judaeo-Christian.
Judaeo-Christian is a redundant term. Christianity is based on both Old Testament Judaism and on the New Testament (which was written down by the Jews). And America was founded and built on Christian principles. Jews came late at the end of XIX and beginning of XXc and those who got involved in politics were mostly secular.
On the other hand you could say that Israel is Judeo-Christian as its founders were not very religious and raised in Christian Europe.
Yours, works in my mind too, but not Pats.
Though it's none of my business, you might consider other proponents of positions you agree with. Myself, I like Michelle Malkin on immigration for example. *crew Pat, imo he's a bigot.