Where did you buy this Aero Precision lower parts kit from? That pivot pin is not right. All Aero Precision - hell, ALL manufacturers - flatten the back side of the pivot pin.
This one is round all the way around. Not a known pivot pin, from any manufacturer, that I've ever seen, and certainly not how Aero Precision makes their pivot pins.
I once tried to mount a PSA upper on an Aero lower, and there was no way in hell it was going to lock both pins. Something was wrong. I tried that same PSA upper to a Matrix lower - No Go. There's something to be said here for using PSA parts when building a .308AR. You either go all-the-way-PSA, or don't. When you DO go with full PSA, prepare to do some work to the gun.
You've complicated this process simply with the choice of the lower receiver, I kid you not. You compounded the problem using a Moriarti upper assembly. Not joking here.
@edgecrusher's recommendation for a matched - or at leastfrom the same company - known receiver sets is the way to go, without further headaches, alot of cussin, alot of wasted ammo, and holes in the garage walls - because this combination is gonna make you throw expensive tools...