Ah, a classical! It does not mean republics as they were in ancient Greek cities. The Greek society is not the European medieval society; some people named the Romans came right in between and, albeit they stole a lot of the Greek, left a mark on Europe. Not to mention that whatever the Renaissance-folks said, the medieval people actually did manage to figure some stuff out for themselves. So they're equally 2011-Republican party as Greek-republican. Do you have any idea how a Greek republic, if it can even be summarized under one term, works?
^ That
When I see Republic, it comes to my mind more something like Venice or Polish-Lithuanian Commonwealth.