If someone subscribes to a political ideology that is contrary to the teachings of Christ, then one would have to call into question whether they are really Christian or not. I see this all the time in the UK, 'Christians' campaigning aggressively on far-left political causes, then still insisting they are Christian. Bothers me actually
"..a political ideology that is contrary to the teachings of Christ..." Hmm, that's an interesting idea. Let's see what the Bible says regarding issues.
If your enemies are hungry, feed them. If they are thirsty, give them something to drink." (Roms 12:20). Neither conservative nor liberal parties consistently give humanitarian aid to their enemies without getting something in return.
"Live in harmony with each other" (Rom 12:16). None of the American political parties are doing very good with this one.
"So anyone who rebels against authority is rebelling against what God has instituted, and they will be punished." (Rom 13:2). By default all American parties fail on this one since the country was founded though rebellion against England which was the authority at the time. Also freedom from England could have been done peacefully and through legal means though it would have taken much longer.
"Owe nothing to anyoneexcept for your obligation to love one another." (Rom 12:8). I think we can safely say all parties have failed this one in spades.
You have heard the law that says the punishment must match the injury: An eye for an eye, and a tooth for a tooth. But I say, do not resist an evil person!" (Mt 5:38-39). Every political party and country breaks this one. This is one reason that as an Anabaptist Christian I don't participate it politics or civil government. As Christians we have a worldview and way of living that goes against the ways of this world - We're in the world but not of it.
No one can serve two masters. For you will hate one and love the other; you will be devoted to one and despise the other. You cannot serve both God and money. (Lk 16:13). By definition political parties serve the country and the citizens of that country, not God. Where countries and political parties have interests and ways of conducting themselves that happen to coincide with things that Christ has commanded, it as not because they serve Christ as their only master, but only because that serves their interests at the time. The political parties may have committed Christians in them, but they have to serve all the people Christian and non-Christian and are composed of both Christian and non-Christian, so no country and no political party can be said to be Christian or on Christs side.
These are just a few verses to show that no political party follows the teachings of Christ. Every party and every country do some things that are praiseworthy, and every political party and every country do things that contradict the clear teachings of Christ. We can't take the opinion that any particular party is the true Christian party or that our country (whichever that may be) is more than any other, God's country.
Finally we must remember that our true citizenship is in heaven. Any earthly citizenship we have or any party membership we have must take a distant second at most (Mt 22:37-39; Lk 16:13; Phil 3:20)