I only have one MTH Heavyweight. An RPO. The cars if fairly recent should have mounting holes in the chassis and there are mounting shims usually supplied in the packaging. A 2mm x 10mm long threaded screw should work. As far as removing the stock coupler. I actually switched out my trucks to a 2 axle from Weaver. Not sure how the MTH Heavyweight trucks come apart. Pictures shows the coupler mounted and the height. Even with the Weaver trucks the ride height remained pretty close. So if your cars have the provided shim. You should be good to go.
Not sure if it's going to be a problem. Looking at the coupler on the car. It resides under the diapraghm.
The pic below shows it coupled to a GGD Heavyweight.
The MTH cars were designed for the 3 rail world with swinging couplers. The couplers are long and the diaprahgms are long as well to make them close to touching. I only have the one MTH car. Not sure how they would couple together using the standard 805 couplers. They do make a longer version. The 746.
As far as minimum radius. I run body mounted standard Kadee's on scale length cars. Pretty much 072 radius curves. What I do have though is easements entering and exiting each curve. Not a problem even when backing up. As long as it's done slowly. What was a problem. Was entering the yard. From straight. Right into an 072. Instant derailment. You mileage may vary seeing the MTH cars are a few inches shorter. Unless someone has a direct answer and has done a complete set. I'd do one end only of 2 cars and try it out. Removing the couplers on the MTH trucks may not be that simple if it's like their freight car trucks. Best to only fool with 2 of them.