Erhm, just to clarify.
It should be pointed out that Milspec ammo(5.56x45) is almost allways load to high pressures that commercial(.223 Remington) (SAMMI). It a CYA for the US ammo companies.
Milspec ammo can be fire in any firearm in good condition. That a judgement call that you the owner has to make.
I wouldn't test the theory. The 5.56 round, as has already been stated, can reach higher pressures than .223. Sometimes. Might work most of the time, but I wouldn't be shoving 5.56x45mm surplus stuff from some random country into a Mini-14. Now, through an AR chambered for 5.56, yeah, sure.
I would not try to fire 9mm SMG ammo in say a WWII Lugar, but a Glock should not be problem.
I wouldn't recommend firing 9mm ammo that isn't within SAAMI specs out of anything unless the manufacturer said it was OK. Since I don't own an SMG that's kinda a moot point for me.
There are times when a Milspec. rifle is NOT recomended for use with commercial ammo. The only example I know is Springfield Armory's M1a where only US GI ammo was recomended.
This, right here, is where the confusion lies, I think. I sometimes forget myself.
5.56x45 in a .223 chamber is NOT safe.
7.62x51 in a .308 chamber IS safe.
.308 in a 7.62x51 chamber is NOT safe.
.223 in a 5.56x45 chamber IS safe.
For the two most common catridges that are soooo close in US military and US sporting rifles the logic flips. It seems that creates confusion amongst people; myself included! If I'm wrong, somebody, for the Love of G-d, correct me!
Edit:
BTW, nice rifle! Sounds like a pretty good setup for you, and I'd kinda like one myself.