Dodge puts real springs in everything they make, that's why they handle so well.
Ford builds their RV chassis for old people that want a smooth ride. My F53 Class A is the same thing: soft springs, no road feel, mediocre handling. I actually had to put an extra rear leaf on the double-slide side of the machine because it was sagging.
Stiffer front springs are the only cure in your case and in mine. I've decided to live with mine the way it is and just gloat in the fact that a Ford will never match a Dodge in the handling department.
Keep in mind, your RV is light for what you are asking it to do. They are more ideal for towing a Smart car or fiberglass boat, not 5000 plus pounds of car hauler, race car, and tools. No hitch upgrade will fix this either. They Factory rate the hitch for a reason (brakes, transmission, frame, cooling and weight) and match it to DOT expectations.
Could be worse: you could have bought one of them wimpy Blunder Motors RVs. Lol, they don't even make a Class "A" anymore because of how lousy they were.
Everyone will have varying opinions on these chassis I guess.
While I've never had the opportunity to drive an old M chassis, I have driven the GM P-chassis and Ford F53 chassis. Too bad, as from what I understand, the M was a well engineered chassis, and owned much of the '60s/'70s RV market.
The F53, with a solid beam front axle, has been called a LOT of things over the years. But I have NEVER heard anyone call it softly sprung or smooth riding. It's a conestoga wagon compared to a more modern independent designs. As for needing an extra leaf on one side, the chassis manufacturer has no way of know how evenly (or unevenly) the upfitter will load the thing. If your coach builder put an excess of weight on one side without compensating for it, then I'd say your issue is with them, not Ford.
GM closed all of it's medium duty operations as a cost saving measure. At the time of it's sale, it was a very popular chassis in the market place. The P chassis business was sold to Workhorse, who continued to build it (even improving it with a wider front track) for many years. That was eventually bought by Navistar IIRC, and they eventually closed it down, possibly with the demise of the GM big block. With no 8.1L power, and no gas engine of their own, there would not have been much choice. We had two in the family, with zero issues with either. If they have an Achilles heal, it's that stupid self-applying drum park brake on the back of the transmission. Workhorse pretty quickly made the move to an Allison trans behind the 8.1L, eliminating the troublesome park brake.
If getting out of the RV chassis busy in a sign the design was bad, I'm not sure where that leaves the Dodge M series, as they didn't make it past the Carter era. Or the Deere chassis for that matter.