Regeneration Energy would kill Vader.

Plus, Vader would probably just think it was a lightsaber and turn his on, plenty of time for a TARDIS getaway.

And the Regeneration energy would Destroy Vader.

We've never actually seen Sith use the mind tricks. And they're called Jedi and not Sith for a reason. Plus, Sonic the TARDIS to come in around you, then Sonic Vader's Robot parts.

TARDIS

Didn't think of the ventilator. But as we saw, the Death star has a keyhole for higher features. Sonic it, overload the Death Star. Escape in TARDIS. Eat Fish sticks and Custard. in my opinion, Doctor Who or Star Trek could easily triumph over Star Wars.