Personally, your Hardholder has two weapons here (plus any gear he's carrying), a gang and a bus. Either one can use the battle moves. Check the refbook pdf, harm rules pg 2.
When you’re behind the wheel, you can sucker someone, go aggro on them, or make a battle move, using your vehicle as a weapon. By extension, you can make those moves using a different weapon.
Now it sounds like what he really wants to do is Single Combat, not so much Seize By Force. If he wants to use the vehicle to inflict harm, they'll be using theirs to inflict harm back. If he wants to use his gang, the people inside the opposing vehicle will inflict harm back. The damage that's inflicted goes to When A Vehicle Suffers Harm (same page), which includes how much of the harm a vehicle takes will punch through to the people inside of it. Note this for the unarmored buggy:
Whether harm blows through to a vehicle’s driver and passengers, doesn’t blow through, or just hits them too without having to blow through, depends on the MC’s judgment of the circumstances and the vehicle.
That's the straight forward part. Now the interpretation part. It makes sense (seems real) to me that a large gang with shotguns can do more damage to a vehicle than one guy with a shotgun. It might make less sense that a small gang in a vehicle causes it to take less damage than just having one driver but since this isn't necessarily a blow-by-blow, combat rounds type thing, I'd probably go with it. So if there's more than a couple of guys in either vehicle, that's a small gang and modifies the damage based on the size of The Scorched.
Now if he wants to board instead, I wouldn't have that automatically ignore armor with the sedan. Think of Mad Max or Indiana Jones jumping onto a moving vehicle. They land on the roof or the truck bed or whatever and have to work to get inside. If they want to shoot through the window or something to ignore the vehicle, that's probably going to be Acting Under Fire to avoid getting thrown off. If an NPC pokes their head out to shoot the PC/his gang, they're a valid target. For the buggy, there's not much outside to be on. Once you're on, you can start shooting.