I still run the original style MTB rear rim on my Fighter....although everything else is different. :lol:
When I first got my bike I did get a bunch of punctures and it sucked so bad. Since then I've found two main things make the MTB rim/tyre combo can actually work.
1) Increase the pressure. Yes this is a bit of a compromise, but it does help prevent pinch flats. I typically run 30-35PSI in my Duro tyres.
2) Use a tyre liner. I use an old tube with the valve stem cut out and cut all around the inside. Lay this in the inside of the tyre with plenty of talcum powder.
I also use plenty of talcum powder when installing the tube to prevent pinch flats. Since doing all this I've only got a handful of punctures in the 4+ years I've been doing it and most of those were slow leaks.
I typically carry about 4-6 Co2 canisters in my tool bag and when leaks are not catastrophic I just dump a Co2 into the tyre, ride as far/fast as I can till it gets dangerously low, then repeat until I get home. This approach has saved my having to change a tube a number of times.
The other thing I do is carry a Gaadi double ended tube.
They do sell a 24x2.25 inch version that does fit ok in the standard Bomber/Fighter wheels.
I've used these successfully at least a few times.
Alternatively, you could just go with a moto rim/tyre combo, but for me the extra weight is a big factor.
Cheers