... the 1983 Lisa didn't have an IWM ...
The Floppy Disk interface circuit on the Lisa 1 I/O board is most of a WM before Integration. (I don't know but it might even be "The" WM that was the basis for the integrated circuit.)
Improvements were made once it was integrated into a single part (such as the Mac version needing 3 instead of 5 bitslip FFs), but the core functionality is the same.
You are probably wondering if an adapter between the Mac and a stock Lisa Twiggy digital board is simply a matter of the 20 & 26 pin connectors. It may be as simple as that, but my recollection is there was a hiccup (per my thought that some sense signal(s) were inverted). The hiccup(s) might be tolerable if you're just experimenting.
edit: A glance at the schematic shows the Mac variant of the digital board has a 7905 regulator to make -5V from -12. The Lisa variant doesn't have this as the Lisa PSU supplied -5V; so your adapter (probably) needs to provide -5V too.