Interesting comment from you ! With Greece, anything could happen... It's not long since they had a right wing military dictatorship there, it was a right pit, very sad. There are riots and marches every day.
There are lots of people there who are genuine communists and with everything going on, it's possible that they will increase their numbers and strength. Not sure how strong anarchism is in Greece.
But it's quite possible that something big of one kind or another happens there - the people are furious, everyone is finding that they lack cash and the state is suddenly dropping lots of services that people are used to.
The EU requires member states to be democratic, and is not very favourable to anything other than countries that are conservative, christian democrats or social democrats. Anything else is considered extreme.
But there is not a lot of love between Greece and the EU right now.
It's a real soap opera. Anything could happen.