I do it all the time.
Run Head2Head for 3 - 4 turns if the AI is doing something insane (like attacking piecemeal).
Regularly, I will run Head2Head to re-structure things for it, set upgrades (AI cannot upgrade), maybe do a few conversions (AI cannot convert), update commanders, run ships back to port for repair, etc. I try to avoid looking at bases, I use the unit type menus (all planes, all LCU's, all ships) and filter there looking for issues.
With little effort actually, I can get games to run well into '44 pretty easily.
The biggest thing I have done to Andy's Ironman scenario is to keep the unit in flow coming through '46. I remove the flattening that starts in mid-44 for the allies.