My $.02 ... I'm the OP that J-D lent a hand in installing a Helwig rear sway bar. That made a big difference.
I had replaced the front worn old rubber bushings on the front stock sway bar with polyurethane bushings.
Next up replaced shocks front and rear with Bilsteins , then since the tires were over 6 years old I replaced them with Michelens .
At the time I only had the tire shop put metal valve stems on all 6 wheels.
Regretted that and ordered a Tire Man valve stem kit.
Tire shop was nice enough to switch out the valve stems at no charge.
Last was with the aid of J-D We put the rear Helwig sway bar on .
Over all night and day from when I first bought it and drove it the 75 miles home with a 20-30 mph cross wind...
So if you plan on getting tires, get one of the valve stem kits mentioned so they can be installed when the tires are replaced.
Then replace the shocks , I think Shockwarehouse.com is where a few got the shocks from, the local Autozone matched the above price plus I when I ordered them I got a $25 dollar card to use on future purchase from Autozone.
Depending on where you get the tires ? For a few extra $$ have them install the front shocks, much easier with the front wheels off ;) The rears are easy a DIY project.
You already did the rear sway bar , so now replace the front sway bar bushings with the polyurethane bushings.
If by chance you do get an alignment check , have the MH loaded up like your going on a trip , FW tank full, propane tank full, added cargo , you get the idea.
Good luck and happy RVing ...