Misapplied because you overlook the actual meaning of the passage you refer to.
You've correctly identified it before: Jesus is speaking against revenge and vengeance ("an eye for an eye"). But then you somehow turn this to mean that if you slap a mosquito for biting you, you're taking vengeance on the mosquito. You somehow turn "persecution because we are Christians" into "breaking into someone's house to steal and/or kill."
The kind of mentality Jesus was preaching against is still prevalent in the Middle East today; in fact, a common saying is "If you wait 100 years to exact revenge upon your enemy, you're still going too fast."
There is absolutely NOTHING in the Bible that says defense is the same as vengeance/revenge. In fact, the Bible says the opposite. In the Old Testament laws that provide the guideline for how to judge someone who has killed a thief breaking into his house--given to us by the same God who said "turn the other cheek"--He has told us there is no blood required.
This doesn't mean we can go looking for thieves to kill; that would be murder. But it does say that if someone is breaking into your house, and you kill them--it's not "okay," but it's not punishable.
its the SAME God in both the Old and new Testaments, correct? So if allowed in OT, would that be same way in the new?