Back in my Linn/Naim agressive days and to my eternal shame, I remember being extremely dismissive of a client who wanted a rubber-band style motor decoupling replacement for his BD1 - Gawd, I was an arrogant cnut sometimes and it's threads like this which remind me too much of my former life
Seriously though, I believe the one thing that either made or killed a BD1 and BD2 was the motor, it's vibration and the effects of this. Maybe with a modern power supply/re-generator arrangement to cut the motor vibration down and very careful mounting of same, together with a suitable simple plinth, I've no doubt the deck could work really well these days.
If the motor is a 110V model adjusted for 230V as Rega and Linn use(d), maybe someone could draw out the "2000" issue Rega P3 circuit board, since the little network of resistors Rega used cut the motor vibration right down and enabled the motor to be stuck to the top laminate of the plinth with no rumble/vibration issues. I can't remember of the P2-2000 was the same, but it probably was and a universal kit was available to update older Regas. I suspect that many Thorens owners could benefit too, as well as possibly the owners of BD1's and 2's...
Tear down these walls; Cut the ties that held me
Crying out at the top of my voice; Tell me now if you can hear me