I started disassembling the bike and the handlebars are Philippe Atax Franco Italio D352, so I was wrong about the Nitto. The other 22 stem (anyone know that logo?) I have does seem to fit the Olympiade handlebars though.
I'm also not totally confident about the freewheel going up to 31/32. One of the pulley wheels is broken, maybe caused by that? I think I'll go back to 14-28 like I had for years (or try 30) and go for 32/48 chainrings or something similar. Or maybe get a triple. Going to need a new front derailleur anyways. Any reason not to go the triple route? I know I'd need a new spindle and was considering a sealed bb anyways. Velo orange has them with spindles up to 122 (could be a close call) and I see Neco brand ones up to 127mm.