Dry fire will speed you up on the ALS. You can also dry fire transitions with noticeable improvements.
A good drill for transitions is to take 3 targets (2 shots each) and then try to get the same times you had on your Bill Drill.
If I could, during live fire, I wouldn't focus too much on the draw or magazine changes. Instead, I'd focus more on movement, setups and most importantly target transitions. You can always dry fire the draw and mag changes.