Mubarak's fall is a wonderful thing. Nonetheless, making a revolution is not the same as winning it. The people rose up in the Philippines years ago, but they didn't succeed in making much change.
The current Egyptian regime is another neoliberal capitalist basket case, with a tiny stratum of ultrarich combining with the foreign rich against the mass of the populations, getting even richer in the process. This system is as yet untouched. It's a terrible system. Egypt can no longer feed itself. Part of the revolution is against this, in other words, left wing.
The putative new "leader," Omar Suleiman, was head of intelligence, meaning he oversaw brutalization of the population, including a commitment to torture so intense that Egypt was apparently a favorite outsource for US torture. Suleiman also cooperated with the Israelis in the permanent blockade of Gaza and other nefarious deeds. He is no better than Mubarak, with the added fault of still being energetic and not yet senile. (Which is almost certainly the real problem in the regime that kept it from drowning the protests in blood already.)
The military, like all militaries led by officers and gentlemen is split. The lower ranks are reportedly getting very soft on attacking the population. The upper ranks, being upper class (that is what the "gentleman" means, after all,) are fearful of losing discipline. And the highest ranks I think are split over who to support (one of their own? which one? Suleiman? someone not as blatantly depraved as Suleiman?)
If the military loses control so that the blockade of Gaza breaks, it would be a good sign that a deep revolution is taking place.
If that happens, though, the Israelis are liable to go apeshit. They fancy themselves great generals, even though the record is quite mixed when they don't launch a sneak attack. Who knows what those nasty little nitwits might do.
If the new regime tries to bring the Muslim Brotherhood on board, as fellow reactionaries who can overlook decades of repression and torture in the interests of power, the Israelis might lack the sophistication and courage to accept it as the best hand they could get.
And if the new regime was in the slightest swayed by concern for its citizens, it might want to get more revenue to buy food. One of the quickest, most legitimate ways to raise it(by capitalist and bourgeois democratic standards too!) would be to terminate the natural gas subsidy to Israel, and sell for market price. (Yes, a desperately poor nation is subsidizing a supposedly rich one. That's how capitalism works.)