Incorrect. That sounds like another one of your secular rationalizations of Jesus. His answer had nothing to do with paying taxes even though the question he was asked was intended to be a trap about paying taxes. When pleasing your government is at odds with pleasing God, a decision has to be made as to who you will please. Sometimes governments follow the will of God and sometimes they don't.Give your obedience to the republic who worshipped Caesar as if he was a god? Seriously? No.
When Jesus said "render unto Caesar the things of Caesar" it seemed like he was saying to pay Roman taxes but to the dedicated Jew who knew that everything belonged to God he was saying the exact opposite, give Caesar nothing because nothing belonged to Caesar especially in Judea.