clearly demonstrates that you don't have a problem with what they're saying.
Now that is foolish rhetoric. Protesters can't control who walks among them. There are counter protesters who walk among them, too. Does that mean the anti-genocide protesters don't have a problem with the counter protesters? Nonsense.
The vast majority of student protesters are anti-genocide of Palestinians. Full stop. If you say or imply otherwise, you are not arguing in good faith.
Even civil rights protesters in the 1960's had individuals among them who thought they should "kill all whites". That doesn't say a thing about the ones who were there simply for equal rights. It's a fallacy to ascribe the beliefs of the extreme minority to the beliefs of the majority just because they walked or sat together.