[throwawaytolk]

This is just ... not even approaching the truth. only by studiously ignoring history and cherry picking facts could get to your arguement.

Christianity vs islam is a long theme in our history.

You badly misread the crusades as well - the crusaders and the byzantines collaborated. In fact, the byzantines welcomed the crusaders and often helped them in military matters - the crusaders states were used as a buffer from the armies of islam.

The crusaders did attack and plunder constantinople, but this was after the first crusades ; in fact, a couple decades before the sack Latins were sold into slavery and massacred by the byzantines. Reading a single event and turning it into a pattern for latin and byzantine relations in the era is at best sophomoric and at worst dissembling.