So I had this problem a lot too.
The key I found is to not lower the nosewheel immediately on rear wheel touchdown. Keep the nose up and use your rudder alone to centre yourself while letting the high AoA of your airframe slow you down some. Also, make sure you're not flying the approach too fast to begin with.
At that point (I think well under 200km/h) lower the nosewheel and if you still need to deploy the parachute, do so but be fairly hands-off while the parachute initially slows you, if you try and "correct" while the parachute is slowing you it tends to pop the nosewheel - I'd imagine the forces involved are tremendous as the parachute slows you down really quickly!
EDIT: I'll also add that I was used to flying civil jets only (sims only :P) and the big differences are military jets tend to land with much higher AoA and don't drop the nose for a long time (check out videos on youtube for example). I think probably because of an airframe built for higher speed envelopes and no reverse thrust, so like I said above, they use the airframe itself as an airbrake.
