Thanks everyone. Once I was able to ge on the Missi Aut Arms website I was able to answer my own question which seems embarassingly ignorant in hindsite. I purchased the wrong adapter.
I have decided to keep the internal adapter that I ordered and switch to a compatable Ace stock.
Basically the reason for switching the stock and not the adapter is purely availability. I could not find pignose or similar adapters, nor could I find buffer tubes that didn't need an adapter (e.g. Vltor)in stock anywhere. Who knows when inventories will be replenished. At least now I know I have a viable conve