But the Allison V-1710 is a different beast: Selecting the -39 found in the Mustang Mk.1, the engine can only make 1,150hp (based on USAAF 150 hr TBO). And the boost control mechanism for the Allison is different from the RR one. It allows 45.5" HgA for take off = 1,150hp then boost is decrease as altitude increases to 44.6" HgA at 11,700', but the 1,150hp is maintained. (Above 11,700' the supercharge may not longer create enough boost to maintain the 1,150hp).
So, a 2 speed supercharger on a Mustang Mk. 1 buys us nothing. (It actually hurts us with extra weight and complexity). Allison needs to find the other components which are limiting power and strengthen them. Only after the engine can accept more power (While passing the USAAF 150 hr TBO test) is there an opportunity to take advantage of a 2 speed supercharger.
In 1941, the 2-speed S/C with, say, 7.48:1 and 9.60:1 drive ratios (low and high speed, respectively), will have the sibling of the -39 making, on ~44.5in Hg boost making about 1125 HP at ~15000 ft ( where the -39 makes ~1030 HP) and about 1300 HP at ~4000 ft (where the -39 makes under 1100 HP).
All values for the military power.
Take off at ~44.5in Hg and with 7.48:1 drive ratio will also give about 1300 HP.
Once the -73 is available (May 1942), with it's strengthened construction, the company-aprooved WER gives even more, 1500-1600 HP almost between SL and 10000 ft. Similar for the ad-hoc overboosting made by non-USAAF units in 1941-42.
tl;dr, a 2-speed S/C could've gained them a lot