liberal Christians and conservative Christians are ALL Christians.
Sorry, but the definition of a Christian is as found in the Bible. It is not a question of whether the person's politics are liberal. It is whether or not the hold to the historic Christian faith. When some of us say "liberal" Christian, we mean a person who rejects one or more of the cardinal tenets of the faith: the divinity of Christ, the Virgin Birth, etc.
No.
Conservative Christians base good on the word of God.
Liberal 'Christians' base good on cultural elite political correctness. On 'tolerance' and 'diversity'.