Habsburg? I don't know, not really. Maybe a bit like a caricature from Nazi propaganda, although I think they would have given him a weak chin and thinning hair. Definitely doesn't look like Kirk Douglas or Harrison Ford anyway. Maybe a bit like Woody Allen with chromosome issues.
People tend to be pretty quick to point to old racial caricatures for Jews but not include Natalie Portman, Jennifer Connelly, Scarlett Johansson, Gwyneth Paltrow, etc. They kind of get screwed it seems, where only the unattractive people seem to count to everyone else as Jewish.
Anyway, if I were pressed on it, I would say Charles II looks more like a really messed up Western European white guy with some serious problems.