While I definitely believe this myself (I am politically moderate and didn't vote on either side), I don't understand how this came to be connected with the Republican party. One thing that really rather peeves me is the implication that "real Christians" should only be Republican if they care about true moral standards. To that I say, horsefeathers! There are many people who voted Republican, and Christianity and morals had no bearing on this or meant nothing to these individuals. Also, there can be and are many Democrats (more than we think) who strongly believe in morals, and are also Christians. Churches are filled with people of varying political views, which doesn't make one Christian better than the other, and those who happened to vote Democrat should have no reason to be ashamed if they felt they truly voted their conscience, but because of the way things have turned out, it has somewhat come to that point. It's the whole "Republicans are rarely (if ever) wrong, and Democrats are always wrong" type of mindset, which doesn't wash with me.
I don't believe there is any such thing as a "Christian" political party. There are immoral agendas in all of them, whether Democrat, Republican, Green, or whatever. Want to truly go back to Christian principles? We need to start praying for our political leaders no matter what we feel their flaws may be (and they're all flawed), and trust that God will take care of His people, no matter what happens.