Allison was a division of General Motors that made their higher end/turbo motors.
I don't think they were ever licensed out to anyone since GM had enough manufacturing capacity at the start of the war, and was able to expand fast enough to keep up.
GM also owned Detroit Diesel. GM eventually merged the companies into Detroit Allison, then sold if off to Daimler in 1970 if I recall right.
I see a lot of inaccuracies on the History channel sometimes, it's scary. But perhaps the confusion lies in the Mustang getting a Merlin engine to upgrade it, and someone at HC assumed the P38 upgrade was a Merlin as well?
I have to wonder though, how the P38 would have performed with twin boosted Merlins
