The Chinese communist military is pitiful to say the least. Most communists are denouncing the CCP now and China is hemorrhaging membership in the communist party especially within its military ranks.
The military get a large part of its funding through the systematic removal and selling of live human organs of unwilling political dissidents in China on the open and semi-legal organ transplant market in China.
So no. China couldn't fight the war on terror even if it wanted to because China is the worlds largest exporter of terror ever known on planet Earth.