That's literally what TF-51 (or TP-51) Mustangs are, full dual-control. TF stands for trainer fighter. There are 3 of them based 30 minutes from my house at Stallion 51, and several more out in the world. Rear cockpit has a full instrument stack and flight control setup. The TF modeled in DCS can't be called a TF at all really, it's just a D with a jumpseat.
Here's Crazy Horse 1's rear cockpit for example.