Some military jeeps had air cooled engines so that the cooling could not be damaged by an impact of munitioned. Shooting out the radiator was a common tactic for disabling a vehicle.
I'm pretty sure I saw a guy lift out a large vertical rectangular object from in front of the engine, fairly early in the video. When it was put back in, he reached way down in between it and the engine, like maybe he was re-attaching the bottom hose (presumably without a hose clamp, or any fluids). But I could be wrong, I only watched that part twice, and I wasn't concentrating on the radiator.