I gave up on a hardware solution to this and currently just use Screen Sharing to "remote" into my personal machine from my work machine, which I guess only works because they're both macs, although VNC probably solves this in a cross platform way. I have an Apple studio monitor so built-in KVM isn't possible, although maybe there's a jailbreak for it since it has its own processor and firmware? I still just vastly prefer the quality of Apple displays so I optimize for that first.

Also, OT but I have the same keyboard as OP and love it :) I want to hack a TouchID key from the Magic Keyboard I bought into the chassis. But it can't traverse the Screen Sharing hack, so I do still think about this from time to time.