Will an AE Mk 1 fit in an AX-AICS????

An AE action and a R700 aren't even close. Mounting spacing is way off, and I believe even the mag well is. I don't think it could modified to fit. People tried them. Some tried to put them in fiberglass stocks and either Manners or McMillan can cut one but the issue is no bottom metals, you'd have to machine one.

I believe at one point someone made a chassis for them. It may be worth talking to MPA as well, I'm sure it wouldn't be cheap though.
 
I don't know the difference in various actions that well.
I do know that a Pierce action can be made to work in an AI-AX chassis, cause I have one. The rifle was built by Accurate Ordinance up in GA.