Can we change the truth? If two plus two is four. Can we take a vote to change two plus two equals three? No way, there are principles in the world that are truth. For example, the bible says, "Thou shalt not murder." This is an eternal truth. Murder is wrong. This is non-negotiable. God's word is not politically correct and cannot be changed by popular opinion.
I am pretty sure that the Church is not anti-democrat, it maybe partially anti-liberal, since religions usually stay conservative, as they have traditions and don't like to change them. Besides, eventually some other party is going to rise to replace the Democrats or Republicans, it is not really that important.