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but why the resistors and 3 volts past the switches? is it a workable circuit?
The two 2.2k resistors going to 3.3V are called pull-ups. They keep those lines at a high logic state until something else pulls them low. The remaining two series resistors limit current, and are likely for protection of the PIC chip.
I don't know if it's workable. I don't know what the rest looks like, nor what a 360 controller is. But fundamentally it looks fine.