The Israelis landed at 11 p.m. with the cargo doors of their aircraft hanging open so they could dispatch the cars quickly. They launched the vehicles, which rapidly made their way to the hostage terminal. However, the guards knew that Amin had recently bought a different car, so they weren't exactly fooled. The Israelis were forced to shoot them, thereby giving away their presence to the whole airport.
While one team rescued the hostages, another group in armored personnel carriers (which they had also been sitting in for the whole flight) secured the perimeter and set about refueling the planes. At this point we should note that refueling a huge plane like that takes an hour. All while surrounded, in a hostile airport.
"Sooo ... any plans for the summer?"
But they did it. The 200 or so commandos and hostages crammed back into the cargo planes and bolted for the border before any Ugandan MiGs could be scrambled to intercept them (it helped that they had destroyed a dozen or so fighters on the ground while they were there).
The Israelis escaped with 102 out of the 105 hostages and suffered only one Commando casualty when one of the raid's leaders, Yonatan Netanyahu, was killed by a Ugandan sniper. If that last name sounds familiar, it's because that guy's little brother is currently the Prime Minister of Israel.