Should the EU just divorce Greece?

SHOULD THE EU DIVORCE GREECE? Not one to study European politics, I will keep this one short so that my utter ignorance on this issue does not come through. But with all the talk about Greece’s debt crisis possibly spreading to Portugal, Spain and the rest of Europe, not to mention the mayhem that has broken out in Greece on account of this financial situation, not to mention what happened on Wall Street today, I was wondering whether it would make sense for the EU to just divorce Greece and pick up with, say, Turkey? Does that make any sense? Or is that stupid?  I mean, was the Euro a mistake?