"I'm Christian, I'm Catholic, all my decisions stem from my core belief, and I think I have a right to have people give an invocation and a prayer."

What does giving an invocation have to do with your core beliefs?  Are you saying that you can't operate under those beliefs without that invocation?  Pretty fragile belief framework if that's the case.

Why have the invocation at all?  Recite the Pledge of Allegiance.  If you need a prayer, do it yourself or with friends before you enter assembly chambers.  Seems that this invocation business is distracting from the real reason you're sitting in those chairs.