Interestingly a Californian friend wrote this :

Thanks, this was timely, I just finished watching a tape I made Friday of him on an interview show on the ABC network. The ads for the show had a P-51 siting static in the background and I was curious so I popped in a tape and sort of forgot about it. Before the interview part, the tape opens with him in flight at the controls with a female passenger and two wingmen / photo P-51s

I was surprised to see that…they had a camera mounted low on the right side of the cockpit so you could see Tom flying…and the reporter was in the back seat. Neat stuff. One of the AC was a military marked Sea Fury.
They said the Sea Fury was the photo ship but didn’t show or ID the third plane in the flight.

So that answers the question of whether Cruise can fly the Mustang solo.