This is not true from any analytical standpoint.
Polls show most Democrats want a permanent ceasefire and that is an anti-israel position by Zionist.
If Joe pulled aid from Israel legacy media would alter their messaging just like they did with the border, when Biden went from criticizing Republicans on their stance on the border to supporting a Border bill drawn up by Republicans.
CNN and MSNBC will defend Biden no matter what he does, and Fox News will shyt on him no matter what he does.
If his political calculation is to piss off his base, especially in swing states, then it will most likely lead to an upset just like with Hilary in 2016.