It looks like the XF4F-2 was powered by a P&W R-1830-66 engine (at least according to "Grumman Aircraft since 1929" by Francillon)
which was a single stage single speed engine of 1050hp take-off and 900hp (normal) at 12,000ft according the P&W. Except that so far I can't find in the P&W record what engine was used in the XF4F-2. The -66 is supposed to have been rated for 100 octane but it's power levels are closer to engines rated on 87 octane fuel.
AS to timing, most of the P-36s were built with -13 engines with very similar power ratings but were rated on 91/93 octane fuel. I have no idea if the AAC and the Navy were using the same fuel in 1937/38.
The -76 and -86 engines have just about the same ratings, or exactly the same ratings, with the two stage superchargers, however there were problems with the -76 engines which are rarely (?) described except for references to mismatch of the airflow between the superchargers and rumbling in the ducts. In any case they came out with the -86 fairly quickly.
the F4F is a rather odd airplane by WW II standards. See the performance charts here.
While the planes was good for 330mph (maybe) at 18,800-19,000ft it was good for about 300-310 at 12,000ft and it was under 290mph at around 6000ft. Or about 20mph faster than a Fulmar II. Back to high altitude it was good for 300mph at 25,000ft (or bit better?)
It's two stage engine allowed it to perform at least moderately well (for 1940/41) over a wide range of altitudes, over a bit longer range than most allied or enemy fighter (except Japanese) while carrying protection and a fairly heavy armament ( I said heavy, I am not arguing about effectiveness at this point).
A Wildcat was carrying 802-865lbs of guns and ammo (full load and depending on 4 gun or 6 gun) compared to a Spitfire IX carrying 650lbs. Wildcat was also carrying more internal fuel.
The US could have made some changes in 1940-41-42 simply by not insisting that each and every fighter plane carry a trailer load of guns and ammo
Trailer for the ammo load in a 4 gun Wildcat. Without boxes or crates.