It will pull it. It may not like it. You would want an A2 truck and turn the pump up along with some injectors and intercooler and some other nick nacks to give it some down low guts but it would be better suited for down the highway. The 5 ton pintle is rated at 50 tons so you are safe on that. a Tilt deck trailer is going to be low to the ground so you would need to have the upper pintle mount used. Then again if you try to come out of a inclined area onto flat land it is going to drag the trailer rear cause the pintle is going to have to sit at 34 to 36 inches off the ground. Wrecker would be better since it has the heavier springs on it.
other option would be an M819. so that you could haul a step deck or a RGN behind it.
Or the 3rd option is to acquire a single or double axle dolly to hook a lowboy, RGN or step deck and tow it behind the wrecker. It would be better suited since it has the weight on the back axles to keep the dolly from trying to push underneath it. Just don't try backing up too much if it is a double axle dolly.
The setup in the picture is a 915 cut down into a dolly. That entire load is 72,000lbs and it pulled great unexpectedly.
With a M936 and a 50,000lb load you are well over 80,000lbs.