It is not the same club. Never has been as Christians are responsible :
1) Being the first to suppress and attack Jews for the past 1700 years for any excuse they could come up with, and continue to come up with.
2) Christians are the ones responsible for the existence of Islam, which has always also suppressed Christians, because they learned from the older brother about supremacy over the Jews and how to "treat the Jews "
In other words, although it is horrible that Christians from all over the world are being persecuted by Muslims, they are reaping what they sowed for creating hatred for the Jewish People and continuing with that hatred to this day.