If you rip the discs with RipIt, you won't have that problem. I never play discs. I rip them and play the rip.
The only potential downside is you'll have to switch the Mac's region and you only get 5 region switches before the Mac is locked to the last region used. So if you switch for the Japanese disc, then switch back, that's 2 switches. So don't switch back, or just use a different Mac when you need a different region.