I think that you will/would be amazed at the difference in ride quality from most of the new ones compared to your mule.
We have 2 of the older mules on the farm, fantastic utility vehicle they will travel all but the roughest fields with easy abit quite bumpy at times,
they will haul and tow quite well for the size and are good vehicles.
They are slow trying to get from one farm to the other, sometimes hard to start and quite a pain when you do have to work on them.
Changing a starter was a frustrating experience.
When I decided to get a side by side for me I was looking at all the ones I could find in my area.
I had a couple of specs in mind I wanted easy to get in and out of, I'm older, stiffer, size 15 workboots, and am large overall, I also wanted room for 3 because we end up with 3 or more in the mules frequently for work or pleasure.
After looking at so many that the specs were becoming confusing and hard to keep straight, had to keep going back to the brochures and make notes I had narrowed it down to the Kawasaki Pro FX and one other that I had not physically seen but was intriguing to me a Bennchee Warrior 800.
I ended up with the Warrior 800, the drive train is completely controlled with a 2wd or 4 wd switch, then a rear diff lock switch and a front diff lock switch.
It has all the lighting needed to be DOT legal headlights with high/low beam, directionals, brake lights, tail lights, hazard flashers, a horn, 27 inch tall DOT approved 6 ply radial tires as well as several other pieces of equipment that have been handy, winch, power dump on the box, windshield, roof, trailer hitch receiver.
It's an all steel body and does have some noise and rattling when going down the road (it has more in it but I run 40-45 on the paved roads).
It goes great in the fields, pastures and farm roadways, fair in the woods as it is 70 inches wide, but has 3 bucket seats to easily seat 3 we have had more in when giving kids or other people a ride.
So far we have been pleased with it over all, longevity is the main question now.
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The dealer I got mine from had been using it as a demonstrator and it had several nicks and scratches in the paint, but I ended up over $3000 under the best price I could get on the Mule Pro ex.
To reply to the title of this tread I would not put truck or car tires on a utility vehicle, for my uses I believe the ride and traction would be severely compromised.