Of course they will. Restraint once the death count goes up and ceasefire when it drags on.
World opinion will also change. Don't take as a sign that everyone is turning against Israel.
That is the key, and also the predicament.
Take decisive and aggressive action now while support is there, but then risk losing said support.
Show restraint and move slowly? support will fade anyway with time and objectives may not be completed.
Besides, dragging on in general will only cause casualties to mount on each side.
Does any other country have to reckon with this concept when just trying to keep their people safe?