You've got an AR-10B receiver from Armalite. You, my man, have an AR-10.
My 10 SBR (as an example) is an AR-10B receiver (upper/lower BCG, FCG) with a Noveske barrel and gas system. Along with the heavy buffers, Magpul stock, Hogue grip, Troy BUIS, Elcan optic and Rainier handguard and AAC muzzle device. It's an AR-10. Did it come from Illinois in that config? No. Hell no. They don't offer such a beast. Is it any less an AR-10 than my SASS? Hell no. Any less than my 10 A2 carbine? Hell no. Less than my A4 carbine? Hell no. I could go on, but there's no need.
If it says Armalite on the side of the receiver, It's an AR-10.
Nuff said.
As you were.....carry on.