This is done daily around the world already. "Fiber modems" or "Fiber Routers" are just there for the carrier to sell you more crap. There is no technical reason why I couldn't just plug a random computer in to the fiber line at any of my offices.
Also standards for ONT boxes.
As for performance in the home, 2.5 and 5GbE may come this year. IEEE is working on releasing the standard. There are current products that do them, but since it isn't a standard yet, just OEM specific gear, it hasn't been widely deployed yet.
Beyond that there is 10GbE which is a standard and can be run on Cat5e if you wanted (over short distances, but long enough to be totally viable for a house. 45 meters).
So, no, wireless isn't just going to replace everything. It is a shared medium, it attenuated rapidly with distance. Heck, 1GbE is going to be faster than most 802.11ax setups over distances greater than probably one room (unless talking about bridges). 11ax is supposed to add a fair amount of performance, but it isn't likely to add much more than about a doubling of wireless speeds. Maybe somewhat more under ideal scenarios.
My laptop with a 2:2 adapter to my router with 11ac if I am fairly close can hit about 60MB/sec with a tail wind. Oh, sure 11ax in ideal setups might hit 120-150MB/sec (160MHz channels for 11ac and 11ax aren't super likely. The components are much more expensive than 80MHz radios and amps). Buttttttt, if you put a wall in the way. Maybe a little more distance than 10ft or something, you'll probably see more like 50-70MB/sec on that 11ax connection.
Total speculation of course.
What isn't speculation is with that wireless setup, I can get 60MB/sec to one single client with 11ac. If I had MU:MIMO on a 4:4 router I could get about 60MB/sec to one client and 30MB/sec to a second client and that would be it. Throw in 20 clients and I am still just sharing around that ~90-100MB/sec of wireless speed.
Gigabit Ethernet on the other hand has ~120MB/sec to each and every single client in both directions at the same time if the network is designed properly.
Yes, we need faster Ethernet that is cheap, for a lot of reasons. However, wireless is not going to push wired networking out anytime soon. By anytime soon, I mean it'll likely never be a higher performing replacement for wired networking.