It would be nice, but won’t happen, even if the military government wanted to. The MB is down but not out. Cooperation between Israel and Egypt will be something they’d demagogue and use to gain support, so any joint task will have to be performed very obliquely.
Further Israel and Egypt military leaders were already working together before, though they didn't broadcast it...and still don't to speak of.
Israel will do what they have to and Egypt too with the MB'S....their problem is to keep the International bimbos from interfering until they have accomplished what they're attempting to do. Just like in Syria with the terrorists groups...the only solution to stopping them is to take them out...otherwise they will continue on with their agenda.