E* really does not have anything to do with an OTA antenna - you're pretty well on your own for OTA as far as E* is concerned, tho' an installer might be able to help you with that part as well for a price.
You will need to either remove the amplifier on the OTA antenna or give it alternate power somewhere in its cable. The OTA signal needs to run independently to the OTA input on the 622 and not through the switch (which does not pass an OTA signal). There are ways to diplex the OTA antenna signal into one of the coaxes that carry the sat. signals, but that is almost impossible when you also need to pass power for an antenna amplifier. There are also antenna amps that run off the same power as LNBs, but I don't have much information on them. You still can't send the OTA signal back through the switch tho' so that probably is not an option in your current system.
If you're going to have just the 622 you can probably eliminate the switch altogether so that facilitates some of those options for you.
There was another member here in a situation similar to yours. He purchased an in-line amplifer from Radio Shack (cat. # 15-1170 - $35) and just used the power insertor part and ac adapter in order to power his antenna amp from the 622's location and it worked very well for him, but I am not necessarily recommending that. He also used a separate cable from the OTA antenna to the 622. You would first need to verify that the power from that RS unit is the same as what your antenna amplifier needs, but you might be lucky!
Good luck with it and do report back...!