Greetings;
I have not played the mini-dogfight game but there is a good review below, follow the link.
Have you tried Chopper Alley? It's not bad for a flight sim game. Follow the link for a review and a link to download a demo/purchase. I played it and found it to have good action and the graphics look better than the Mini-Dogfight program. As for the dogfight program working on the Axim it says it works on the ARM processor and the Axim runs ARM programs as well as XScale. Some of the ARM programs might not work as well on the axim.
Mini-Dogfight review
Chopper Alley review
Scott