No. What I'm saying is that the pro-Palestine protesters in the western countries are, knowingly or unknowingly, boosting the pro-Hamas message in many cases. There are probably very few (if any) pro-Palestine protests that don't include the presence of some degree of pro-Hamas (and by extension, pro-Extermination of all Jews) people. This manifests either in the form of Hamas Flags, explicit anti-Israel flags and demonstrations, or chants of "from the river to the sea".
On the other hand, the pro-Israel protests are very focused on the defense of Israel territory/citizens and anti-discrimation against people of Jewish heritage. There's no explicit call to kill/expell all Palestinians. If there is, it is very fringe and the protestors themselves would certainly eject said person from the protest. At most, the most aggressive remarks are reserved specifically to the Hamas only.