Most rigs are set up with a OTA coax and cable coax with provisions for a switch the output of which is a coax that has a typical TV splitter to both TVs.
The satellite coax is a completely separate coax that runs to the sat receiver. The receiver is connected to the TV via a HDMI cable or other means as noted above - but not a coax. You then switch the TV input between the coax or receiver or DVD or Blue Ray etc.
So run a new coax from the dish to the receiver using any route you choose. I ran a coax from the receiver to the nearest outside locker with a barrel connector for additional coax to the dish.
Then you can start to address how to run the second TV with satellite.