Why would you do that?
I thought the British Mustangs didn't have a center-tank?.
Because the balance wasn't quite right on the Merlin powered P-51s, you did add several hundred pounds of engine and a larger heavier propeller to the front of the aircraft.
The Balance/CG wasn't bad, just perhaps not all that might be desired. It also made fuel management simpler. fuel for landing was in the
rear tank, not fuel in
one wing tank (you didn't select both wing tanks at once) so a steep bank when landing (a no-no but they happened) didn't cause fuel starvation. Please note that Merlin powered P-40s also landed using the rear tank while Allison powered P-40s landed on either the forward wing tank (if present) or on the rear wing tank (which was still forward of the rear tank) if the P-40 was a stripper model with the front tank removed.
Then they just thought of having bombers with no bombs and more firepower to simply hose down more enemy fighters, and then from there they developed the YFM-1. I'm amazed the P-30 didn't remove their faith in that idea...
the P-30 idea wasn't quite the same, nobody thought a single RCMG was that big a deal fire power wise. (they were using twin guns in WW I after all) but the P-30 did put an end to single engine two seat fighters in the USAAC.
As a result it meant that the people who had the ability to develop effective tactics for bomber escort, and specifications for practical escorts would never be able to do so... until bombers started getting cut-apart left and right.
The bolded part is a bit of problem. The P-38 is a perfect example. As originally conceived it was a
bomber interceptor not interceptor with the same armement and performance as as another specification that lead to the P-39 (at this stage both had turbos)
but with twice the endurance. There was no single engine with enough power being offered when design work started so they had to go to twin engines. For a
specification for a practical escort, you needed a powerful enough engine that was light enough and didn't gobble fuel at a huge rate (or an airframe that was low enough drag while carrying the required armament and fuel).
Please remember that in general US bomber specifications had much longer ranges than most (all?) european bomber specifications. Even the B-23 which was pretty much a warmed over B-18 with fresh icing drizzled over the top was supposed to carry 4000lbs about 1400miles and first flew in the summer of 1939. So please come up with an escort fighter that could fly a 500 mile combat radius mission in 1939/early 1940 using existing engines of the time before you cast too many stones. Please note that an early P-38 without self sealing tanks (400 gallons internal) can't fly 1400 miles at 210-220mph at altitudes in the mid-teens, please also note that the only way the early P-38s (YP-38s and P-38Ds) got 1150hp engines was by using the turbo, the base engine used 6.44 supercharger gears instead of the 8.77 gears in the P-40 engines and that is what allowed for the extra 110hp for take-off.
That's not entirely true, there were both fighter and bomber-guys who are big proponents of high-altitude capability.
The problem was that the USAAF had little interest in twin-stage superchargers, and focused almost totally on turbochargers. They did work well in producing high critical-altitudes, but they can be kind of bulky compared to superchargers.
that is true but rather ignores the state of the art, such as it was, in supercharger design in the late 30s or 1940. P & W does't get two stage superchargers flying in prototype form until late 1938/early 1939 which is obviously much later than the USAAC was flying turbo charged planes. One Seversky and one Curtiss Hawk show up at the 1939 fighter trials with these engines. The army was apparently not impressed with the performance at that time as they went for the turbo Seversky instead (P-43). Please note the difference in bulk was minor was the two stage P & W engines used intercoolers and at least some ducting.