The problem is my character can't really fight alongside the Mechs, because they'd be setting everything on fire awfully close to his face, so it makes more sense for us to fight in separate groups for this conflict at least. 

The main question is who wants to lead our assault? If anyone is particularly gun-ho as a Mech pilot they could engage the wolves while they're unaware, putting them out of the fight early and leaving only the other two wolves + inevitable reinforcements as a threat. Meanwhile, the foot soldiers can just sneak round the back, pop a flash-bang over the APC and then swerve wide past and blast smooth-chainsaw friend to death while he's hopefully blind.

Then we rescue the good guys and run away into the sunset, out of the death fog of death.