On Tuesday of Holy Week what was Jesus' spiritual message in the Tribute to Caesar?

In essence, when you give yourself over to the Savior, you are supposed to be "no longer of this world". However, you still have to live in this world until such a time you take your final Earthly breath. This teaching is designed to instruct us to do what we have to in terms of living by mans law (eg not getting arrested and things, paying taxes) so as to show a willingness to submit to authority, but to always remember that there is a much higher authority than anything we will ever find on Earth.