You said they said:
Do not argue with the people of the scripture (Jews, Christians, and Muslims) except in the nicest possible manner
“The prophet, prayer and peace be upon him, said: ‘The time [of judgment] will not come until Muslims will fight the Jews and kill them; until the Jews hide behind rocks and trees, which will cry: O Muslim! There is a Jew hiding behind me, come on and kill him!’” - Hadith: Bukhari (52:177)
Ultimately, their "nicest possible manner" is flat-out genocide.
Niiiiice...
A hadith is not part of the Koran. It is a tradition of the prophet and is considered of considerably lower authority.
Roughly a quote from a Church Father as compared to a biblical verse.
Also your quote does nothing to address whether Muslims believe Christians and Jews worship the same God, only that they will kill Jews. Christians themselves have often shown themselves more than willing to kill other Christians who worship the same God in the wrong way.
Look, I’m not defending Islam, just suggesting that our criticisms should be accurate. There are plenty of legitimate criticisms without dragging in untrue ones.