I took my Air force training at Randolph AFB Texas...
The "Tweet" was a piece of cake.....The T-38 was a different animal....If you got low and slow in it, You were close to death anyway....It was centerline thrust...and rudder wasn't a big player, but rudder on base to final was a no-no except to coordinate the turn if needed.
I agree with Harry,

The key words here are low and slow.
One should learn to use rudder, it is a lifesaver, and a necessary.....Practice is the word.
I always turn my base to final over my left shoulder.....It looks wrong....but it turns out right.
Doc
Note: If you see the tail of your a/c under the airplane...you are setting yourself up for trouble...The tail should always be on top on your final approach.