Be sure you don't confuse the responses here. You CAN run the coax OUTPUT from the receiver to the video control center so you can watch where ever is on that receiver on any TV in the coach.
However, you CANNOT run the coax INPUT (coax from the antenna) through the video control center in any manner. It (they) need to run directly from the antenna to the receiver.
You only need 2 coax cables from an antenna if you plan to use a DVR or dual tuner box. Depending upon the type of antenna you plan to use, however, this might not work.
Can you tell us more about the antenna you will be using and what kind of receiver you are planning to install?