Read the NAO report on MFTS, it outlines exact instructor numbers and civilian vs military breakdown. The majority are going to be military.
Though with 28 Hawks, 23 Grob TP120s, 5 Embraer Phenoms and 10, yes TEN Beech T-6's, there will not be many of either.
One wonders if this bunch have looked at the numbers of training aircraft used by every other Air Force in the world...