There is a way, but a completely jerry-rigged-not-standard way to do this. Has worked for me for more then a year now, but don’t do this unless you know what you are doing (grounding the antenna for example, and able to troubleshoot if you get something wrong) or just plain nuts like me.
A little info before I explain: Dish’s implementation of MoCA is in the 675-850 MHz, satellite communication is 950-3000 MHz depending on the technology used, and UHF communications are 470-608 MHz (this range used to be higher, in the 700’s which would cause problems but a lot of that space was reallocated to 4g/5g). All three of these are on different frequencies, so running them on the same line is now possible.
You can’t use the original Dish diplexers (manufactured by Holland I believe?) since those block MoCA on the sat bypass ports, but you can use hybrid taps/hubs for diplexing purposes. Why? They allow 0-950 MHz on their client ports, and the satellite bypass ports are 0-3000. So if you connect a OTA antenna to a Solo Hub client port, this will act as a entry point for the OTA signals. Then at the Hopper location use a Tap and connect the OTA module to the client port on that. If you do not have a client port available on the Hub, you can also add another Tap to ‘inject’ the OTA channels at some point between the Hub and Hopper (but not between Hub and LNB, the hub does filtering for both MoCA and OTA on the LNB port).
Now, doing all this will work, but is brings about two problems. First, having a big-a$& antenna attached to your MoCA network means you are broadcasting MoCA signal to the neighbors, which may be a security/network performance issue (mostly the latter, I wouldn’t worry to much about someone randomly deciding to setup a MoCA sniffer or something but it’s still a possibility). Second, you are letting everything from the 0-950MHz range into the system with an antenna installed like this, which means ham radio, 4g/5g, OTA transmission, among a bunch of other unnecessary stuff that can cause interference. What you need to fix this is called a band pass filter, a device that filters some frequencies and let’s others through. Here is an example of one, and it’s the one I have installed as well
VHF-UHF band-pass filter 174-216 + 470-700MHz special , it limits Ham and Pagers | eBay (I could not find one that ships from the US, but I have gotten them in the past so just use the eBay link for reference).