@Seevee
Not 100% sure if you can access Starlink's web page to buy stuff, think you have to have an account, but here is the link either way
Shop Starlink
The Starlink cable is just a CAT6 cable with proprietary connectors on it. Some people have managed to cut there's in pieces(dog, lawnmower, beavers, etc) and splice it back together and some have made their own.
Basically the dish comes with a cable attached to it, which the unattached end plugs into the Starlink router. You have to use the Starlink router, you can put it into by-pass mode and use your own, but it has to be connected to make dish work.
I use the UBNT antenna's for all kinds of different stuff, and they make about 100 different types, most people don't even know they can be used for all kinds of purposes. The way I explained it previously was only utilizing 1 antenna. These antenna's can push WiFi, they can pull in/suck WiFi, or you can put 2 together and make a bridge connection.
For example, I use these antenna's at my house to blast/push WiFi all over my 20 acre property so that I have WiFi everywhere on the property, you can use WiFi at my house 2000ft from my house.
Another example, when I am in my RV I stick one of these Antenna's on the window or outside somewhere and I can pull WiFi in from miles away, in this case I am sucking wifi in. Could do the same at Marina to suck WiFi into boat, however I have never found a Marina with decent WiFi so I don't bother.
Point being, a $50 antenna can solve 95% of your issues you described, and it plugs into your router where ever that might be located on Boat or House. You just have to tell the Antenna to push or pull, its not smart enough to figure it out on its own.
Obviously if you have 2 together you form a bridge where you could have one network on boat and one network in your house, I was simply trying to give you simple version. I have had some of these antennas working at my house for 10 years now and never have to touch them, so while you might think these are a hassle, they are truly idiot proof once you get them set up.
You mentioned Airport Extreme, since I wont touch anything made by Crapple, I do not know this device, but am assuming its a Router? If it is, then you couple probably configure it to Repeater Mode and it could suck WiFi from boat(Starlink) and re-distribute it in your house, but once again I have no idea how Airport Extreme works, just an assumption that it has a Repeater Mode.
Bottom line with Starlink, its a $600 toy that cost $125/month but it gives decent internet on your boat, rv, house, whatever. In my mind its kind of a must have for boats, but I can see how some feel the price tag is just too high.