That's pretty dishonest. It's only an "unarguable fact" if you consider "X group does Y" to be true if any members of X do Y, in which case it's an "unarguable fact" that all races push hatred of all other races and we should encourage hatred of people based on race for that reason.
You can criticize organizations without lauding broadly hateful comments with no qualification on your praise, which is what Musk did. What happened isn't complicated or even particularly subjective, frankly, though the broader topic certainly is.
You can also engage in that broader topic without defending obvious shit-stirring specific examples/figures, like Musk. There are people making sound criticisms of e.g. Israel or the ADL. You can take their positions, instead of joining hands with a low-quality source of noise and trolling, like Musk and the guy he was praising.
The statement said "Jewish communities", not Jews. The ADL and Israeli government fall under those categories. This kind of response is just like the ADL, who attempt to smear anyone who criticizes their influence as an anti-semite.
You can also engage in that broader topic without defending obvious shit-stirring specific examples/figures, like Musk.
Sure, but when a topic that people don't want to discuss is brought up, people will spend eternity addressing the manner in which it is brought up to avoid addressing any of the concerns directly.