Resilient Technologies is already testing its airless tires on a Humvee. Such a design allows bullets to pass through the tire. The tire still performs well when it has lost a lot of the honeycomb structure. It also deals with noise and heat very well. More rigorous testing is underway, but the concept looks very promising.

Humvee Non-Pneumatic (Airless) Tires - 02

Humvee Non-Pneumatic (Airless) Tires - 01