Follow - up of Separation of Church and State

In Matthew 22:15-22 we read:
Then the Pharisees went out and laid plans to trap him in his words. They sent their disciples to him along with the Herodians. "Teacher," they said, "we know you are a man of integrity and that you teach the way of God in accordance with the truth. You aren't swayed by men, because you pay no attention to who they are. Tell us then, what is your opinion? Is it right to pay taxes to Caesar or not?"
But Jesus, knowing their evil intent, said, "You hypocrites, why are you trying to trap me? Show me the coin used for paying the tax." They brought him a denarius, and he asked them, "Whose portrait is this? And whose inscription?"
"Caesar's," they replied.
Then he said to them, "Give to Caesar what is Caesar's, and to God what is God's."
When they heard this, they were amazed. So they left him and went away.

The last time I was talking about this topic it was aimed at my native country.... Indonesia who is currently according to my opinion not truly separating between Religion and State.
But as read through newspapers specially during this election battles that even in the United States this issue is still an on going battle between the conservatives and the liberals.
Sorry to say but I am more incline to side with the Liberals here, mainly because of the above Verse.......
The Passage taken from the book of Matthew above clearly states that even Jesus Our Saviour honours the separation of Church and States. He acknowledges that we must separate our obligation to the Church apart from what our obligation is to the Government.
That is why I agree that our religious disposition should not be compiled into the way a country is run.