And if rockets and other weapons really are being fired from hospitals? What do you do then?

Yeah, I mean there are people in the Israeli Government calling all Palestinians (not just Hamas) "animals", others who say that Palestinians won't be allowed to get back to Northern Gaza and there's even a member of that Government who seriously suggested Israel should nuke Gaza.

And then, of course, there is the long track record of Israel doing things like murdering journalists and killing Palestinian kids throwing rocks at their armored diggers, especially under governments with these same people in them.

People who have a track record of murdering journalists and children, bombing hospitals full of those they see as "animals" which they want to see dead or out of Gaza, and then providing to the World some unverifiable excuse that blames somebody else and doesn't even pass the sniff test when it comes to proportionality in the use of force is hardly out of character, especially because History has various examples of people who think like that going full on mass-murderer in similar ways.