I must admit I am often in doubt whether the CC is the barque or if it is the Orthodox, they don't seem to be plagued by heterodox priests and bishops like the Latin rite of the CC is. 

I'd guess its because of the persecution they have suffered in the east that they have held more tightly to the teachings of the church fathers.  Or because they actually do believe in their church's teachings and don't live as hypocrites.

I really have yet to understood why people like those priests who call themselves Catholic but don't actually believe in the church's teachings. I get not adhering due to difficulties, but outright disbelief I don't get.

It seems odd to me to want to be a part of a religion you don't believe in.