TPU, Run burst, aaHP, Run cancel, JK, Air Throw will connect on all characters (tested my myself, the timing's a bit framey on certain characters (f. ninjas, shang, sheeva, sonya, u. sub)) but everyone else is pretty easy.
As for Kahn, he is definitely a run killer, I think there's a 1 in 3 chance he'll open with the upward tackle, instantly leading to his demise in that round because of the uppercut, spear his wake up, wait a little, uppercut, repeat until dead loop. Also, alot of H.Smoke juggles are doable on Kahn too, so maybe something can be done with those?