Yeah, in principle. The problem is that if the video camera
Not uncommon. Just make sure that the you use the 15 (or less) voltage option on the transformer. I assume that your door bell will be happy with 15v
Yep the latest Ring doorbells can take 8 to 24VAC from a traditional bell transformer or 24VDC from a dedicated supply.
The chime will actually be disconnected, so it’s needs are arbitrary for now, just the wires to the doorbell will be reused.