I’d like to see Egypt step up and help crush Hamas with Israel. We’ll see.
It seems that Egypt would strongly like to see Hamas crushed, but they have their hands full at home, in the Sinai, on their Western border where Libya is collapsing, and to the South where they have the Islamist state of Sudan.
I doubt that Egypt will overtly jump in militarily - Israel can handle it, and Egypt would never be able to live it down among Arabs.
Diplomatically and covertly though, I’d be surprised if they are not working to screw Hamas. At some level, the Egyptian military is at war with Hamas and the larger Muslim Brotherhood.
My fantasy for a good screwing of Hamas is to disgrace them in the eyes of the Gazan public, disarm or disable them militarily, impoverish them by cutting off most of their income sources, and install their opponents (Fatah) in power, to root them out in ways that would make “civilized” people blanche.
After combat operations are complete, I’d expect some Egyptian intelligence or even special forces operations in Gaza, no matter how things shake out.