no, its not a false equivalency. the christian violence problem may have earlier with things like the crusades and inquisitions but movements/advancements like the Enlightenment and science helped quell the christian nonsense. The crusaders way the crusaders acted cold be seen as the model for ISIS idiots. Post crusades the christian nonsense was driven by the "normal" god- fearing person whereas the current violent islam problem is being done by extremists who are basically gangsters using the religion as an excuse.
"Christians do not kill apostates nor tax/enslave non-Christians, nor throw homosexuals off rooftops or stone women to death who were raped." - yeah, right, they never burnt or drowned witches or anything like that, people were never stoned to death even though its an instruction in the bible, people were never enslaved, check how the cathars were treated in france, .
anyway its off topic