The helicopter flight is spectacular. Just to let you know you are unable to fly directly over the rock as it will "disturb the spirits". But it is well worth the flight. If you go your onward BP you may even have time to jump in a car.
Some general knowledge for the day. Ayers Rock/Uluru is the second-largest monolith in the world (after Mount Augustus, also in Australia), more than 318 m (986 ft) high and 8 km (5 miles) around. It also extends 2.5 km (1.5 miles) into the ground.