Considering how small they are, no they aren't.
It doesn't take a lot to get them to go because much of the weight from them can be removed without too much issue. They are built on a platform that originally wieghed ~2200 pounds, after all.
Hundreds of pounds can be dumped from the car without even getting to the interior, simply by nature of dumping mid-70s era safety and emissions equipment. And the car will light them up rolling in 3rd gear because it has awful weight distribution (even more so with a V8) and laughably small diameter tires.
Linky.
Meanwhile, this is what a Fairmont coupe with the straight-6 weighs.
The V8 would add 250 pounds to that. The
Fairmont. Not the foot-shorter Mustang.
On the Mustang II vs. the Aircraft Carrier Mustang:
Linky.
A foot shorter and 4 inches narrower than the biggest, most purposely bloated one. The one that weighed over 700 pounds more than the original car did, but sat on pretty much the same chassis. So not that much lighter considering the drastic downsizing.
On the Mustang II vs. the Fox Body:
Linky.
200 pounds lighter with the switch to a much more modern, designed-to-be-light-from-the-start chassis that Ford used in pretty much everything until the Taurus came out.
Even if it
did weigh 3000 pounds, it's certainly not "one of the lightest of the bunch" when the SVO weighed just a little under 3000 despite all of the upgraded parts that had in it.
The quad light GT wasn't much heavier. The plane jane Fox Mustang from the early years would be in the same neighborhood of the original car, too. Despite being 20 years newer, and far more substantial.
Oh? It looks like we have another insider!
It's also obviously why they are apparently lopping dozens of inches off the car.
Thank you for that.