Where do YOU learn your history from? Clearly not all it seems.
Cyprus is a British Soveriegn State, due mostly to it's important military status as I've mentioned. Why would Britain 'actually quietly' support an invasion by Turkey?
The Greek Cypriots wanted/want union with Greece. They killed hundreds of British people in their terrorist activities ( EOKA) and Turkey saw the situation moving towards Enosis, so using the pretext of a military coup by the Greeks, the Turks invaded to protect the Turkish Cypriots. Whether this was right or wrong is a political issue and I'm sure that you are not privy to the actual facts of the time.
For hundreds of years the Turks and Greeks had got along until the divisive tactics employed by some Greeks encouraged trouble. The invasion in 1974 was quelled, the Greek military junta collapsed and the country became divided, the Turkish in the North and the Cypriots in the South. The Green Line, as its called, was put in place as a buffer zone and is still there today although passage between North and South has relaxed a lot these days.
You would know that though, because you go there a lot don't you?
The EU has nothing to do with protecting countries and never will, maybe you're confusing it with NATO?
Your earlier comment about Turkey having invaded Cyprus in the 'near past' ( this year, last year?) seems at odds with your theory, or did the EU launch a counter attack? If so, I must have missd that bit of news. Dumbass.