Ok, a melee weapon then, even if you DO beat on that car door with an axe or a hatchet, the fact that you would use such a weapon against what is supposed to be the final boss is close enough to ridiculous, so let's consider from the past a viable melee weapon that you could potentially attack ol' Frank with.
Ripper: A chainsaw is not going to get stuck in that thing, no matter how much you hope or pray it will, it'll just spin a bit more and come loose.
Power Fist: Whatever model you use, it's gonna blow a hole right through that door and probably a good chunk of fleshy meat behind the door, and odds are it's not gonna get stuck, just leave metal shrapnel in the wound of the beast.
Super Sledge: Once again, whatever model used, it's gonna break through, or fold that door clear in half, the odds of the super sledge NOT doing damage against a car door is if you misjudge where his arm is and hit the corner of the door instead.
Now then, let's put in some other potential, high-grade weapons that would be final boss material:
Ceramic Blade: Refined ceramics can cut through about a foot of steel in CP2020, generally used in lieu of diamonds in blade edges and garotte wires, powered armor is all but useless in the face of this blade.
Vibro-blade/power swords: Let's assume that instead of some whimsical magical blade we have a kinetic force amplifier in the blade just the same as in the super sledge, however with the added bite of a blade instead of a bludgeoning weapon, definitely that door isn't going to stand a snowball's chance.
Now on to some of Beth's promised weapons:
Flame blade: Through the magical forces of gasoline and bic comes the revolutionary flame blade, though lacking common sense in it's design, it more than makes up for it's combat shortcomings as a great conversation piece. The font at the tip of the blade can be used to pour gasoline, alcohol, or fruity party drinks as you see fit. Who cares where it comes from, it's just THERE and it looks cool, look at the flames at the top of the blade, no not at the flames burning my hand as I hold this upright, just the flames at the tip of the sword. In fact you can get this blade in many styles, Wasteland rust, Gold inlaid wasteland rust, Silver plated wasteland rust, or the classic steel (wasteland rust optional.) This Beaut can cut through a door, a mutant's arm, or that prime rib roast you have at home with minor sawing and little to no effort (actual experiences vary).
Super Sledge Mk XXIIXIXIXIXIXILOLOMGWTFNOOBZ(You know it's going to happen): From the makers of the amazing and combat re-defining people at Beth-Tek comes the newest increment of the Super Sledge Series, now this one may not pack as much of a punch as the other guy's but it's got Beth-Tek slapped on it so it's GOT to be good for the whole family. Take it to the amusement park, and show it off to the carnies when you whack that mole right to the core of the earth (actual effects may vary.) This beauté of a mallet is packed with an armed Fatman right behind the striking plate, giving that tough piece of meat the blast strong enough to soften it right up, your family won't even be able to taste the difference between meat you've hammered for hours to get it soft enough compared to just one swing of this mallet! Comes with two Fatman charges, disposable oven mitts, and one free package of Beth-Tek's Simulated Rad-Away (user is liable for any and all damages to property, family, pets, food, and self)!
Beth-Tek's Powah Fisht: We at Beth-Tek felt it was time to re-model the old faithful Power Fist, oh nothing was wrong with it, but it just didn't explode enough for our liking. So now we bring you, du, du du da, the Powah Fisht! Now instead of a green glow, from the power conduits applying extra hitting power behind every swing without harming the user, we've irradiated the plasma used to increase force giving it a deep red glow, and inadvertently causing cancerous growths to occur on the user's hand eventually melting it away from prolonged usage. Where's the explosions we're paying for you ask? Simple, whenever you hit someone with it, a breach in the plasma conduits causes a small explosion in the fingers of the fist blasting whatever you're hitting with a small nuclear blast and irradiating him significantly (Warning: Loss of fingers or hands from using this product is not the responsibility of Beth-Tek.) Guaranteeed to stop some gargantuan super mutant with a car door for a shield dead in his tracks, or at least wind him a little bit, hey it's the closest you're going to get to a groin shot 'k, blasted ingrates!
(Disclaimer: the last two Beth-Tek items are (at least at this point) fictitious, and should not be considered spoilers, just commentary on what I expect to come from the brilliant minds at Bethesdia)
Edit: Correction to the vibro-blade, it's not defiantly, it's definitely.