Lambos aren't exactly known for the rugged durability required by American military vehicles. So, the reason they specially made the Lamborghini Cheetah for the U.S. military would have to be pretty far out there.
Well, not that far, actually: the company was struggling economically from a global recession and an ongoing oil crisis. They were bleeding money, so they decided to start taking design contracts. One of those contracts was actually a subcontract for the American military.
In an alternate Fast and Furious timeline, Vin Diesel and Ludacris joined in the military in the 70s.
The Cheetah was born.
It debuted in 1977 and was a failure from the start. The large rear-mounted engine ruined the weight distribution (and thus, the vehicle's handling). After making three expensive prototypes the U.S. Army just wasn't interested in, the damage was done. Lamborghini even went out of business for a while.
Besides the handling, there were a number of reasons the Lamborghini and the Army just weren't going to match. A major reason was that Lamborghini's design was actually a ripoff they received from an Army subcontractor – but Lamborghini didn't know that.
When the Cheetah bombed during testing for the military, the contract for the new vehicle went to the Humvee.
Even though the Cheetah's massive failure caused other contractors to pull their money from Lamborghini, sending the company into a death spiral, it gave them time to lick their wounds and reconvene later. The concept of a Lambo SUV never fully died, either.
Lamborghini engineers revisited the idea later, conceiving a civilian version of the vehicle, the Lamborghini Militaria No.1, or LM001, and its more popular, later iteration, the LMA002.
The 1982 Lamborghini LMA002.
The latest Lamborghini SUV features a V12 engine (the Cheetah only had a V8), souped-up and superior to its 70s-era ancestor in every possible way.