Well, if I were the pilot of the Premier, I'd have to ask myself why did I even put myself in this situation?
Personally, I think your assumption that the F-16 was flying underneath the MOA altitude is incorrect. There are very few MOAs in ZAB's airspace and the lowest base altitude, IIRC, is 11,000 feet. Seems this incident happened around 16,500 feet.
IMHO the F-16 pilot was attempting to visually ID an aircraft in the MOA. If he got close enough to activate the TCAS, so be it. It is an operation (air intercept) clearly authorized by military aircraft to perform within a MOA.
The Premier pilot should feel lucky he still has his corporate job. If he worked for me, his *ss would be out on the streets. He clearly needs a 14CFR and AIM refresher on MOAs.