I'm afraid that AquaShrimp needs to bone up on his history...
When it came to performance, the P-47 ruled the roost at high altitude. Moreover, that's exactly where it was designed to fight. While the Merlin powered P-51Ds were on the back side of the power curve at 25,000 feet, the P-47 was just beginning to hit its stride. Nothing in the ETO was as fast as the P-47s above 30,000 feet. Up there, its excess power made it feel positively agile, and its acceleration and climb rate up that high was without peer. Seriously, the R2800-59 engine was making 2,300 hp at 31,000 feet! Compare that to any other in-service fighter and you'll see that this is about 1,000 hp better than any of them, and that's for a B series R2800. The C series engines generated 2,800 hp at 32,600 feet!! The fastest fighter in squadron service as of April 1945 was the P-47M, able to reach up to between 475 and 480 mph at 32,000 feet and 370 mph at sea level. Even the heavier, long-range P-47N could flirt with 470 mph.
As to a "low critical Mach", that is simply baloney. Max permitted dive speed was exactly the same as that for the P-51D, with its laminar flow wing; 500 mph IAS @ 1g. Jugs were able to exceed 600 mph TAS without damage. Indeed, one P-47D was dive tested post war over 200 times, with all dives exceeding Mach .77, and some reaching Mach .83 without problems or issues. I've posted some of the original flight test data on my website. IIRC, the P-47's critical Mach was actually higher than that of the P-51.
As others have noted, the P-47 was a stressed-skin design. The P-47N did get squared-off wing tips, which did improve its already excellent rate of roll, but only above 300 mph. I have seen data that attributes roll rates between 82 and 90 degrees/second for the various P-47s.
By 1944, all P-47s could carry three external drop tanks. In the Pacific, P-47s were frequently flown with 160 gallon P-38 drops tanks, and sometimes carried another 75 gallon tank under the belly. With the arrival of the P-47D-25-RE, the Jug had the range to reach Berlin. When the P-47N came into service, it was THE longest ranging single-seat fighter on the planet... Even better than the P-51D. Just on internal fuel, the P-47N had a range of 1,700 miles. Add another 395 gallons externally and it had the ability to fly nearly 2,600 miles. In 1944, Republic demonstrated the ability of the P-47N by flying one from Long Island to Eglin Field in Florida, where it then flew mock dogfights with another Army fighter. After this was concluded, it then flew back to New York, all without landing. How's that for range? That was a 1,930 mile flight, with 20 minutes at MIL power and 5 minutes in WEP included. When it finally landed, it had enough fuel remaining to fly up to Boston and still have a 30 minute reserve....
No one thought that eight .50 caliber Brownings were inadequate, because they were more than enough for its mission. Those 8 guns could put out 6,000 rounds per minute, a rate of fire on par with the M61 rotary cannon in service today.
Your statement that the P-47 was relegated to ground attack because of its "short-comings" is... well, simply uninformed.
P-47s were used for ground attack and close support because they were far more durable than the liquid-cooled P-51s. They could absorb much more damage and fly home. Of all USAAF single-engine fighters, the P-47 had the lowest loss to sortie ratio, and by a significant margin too.
Some rather well credentialed aviation historians have stated that while the P-38 was first to take the air war deep into Germany, and the P-51 finished off the already mauled and depleted Luftwaffe, it was the P-47 that broke its back. Jugs had already killed off a significant portion of the Luftwaffe's west-front experten before the P-51s arrived in any significant numbers.
P-47s continued to fly escort missions until the surrender. Flying with the 8th AF, the 56th FG simply refused the Mustang and produced the highest scoring aces in the ETO. 9th AF P-47s flew escort for B-26s right up through April of 1945, when most B-26s stood down for lack of targets.
The whole premise of your argument is that the P-47 was somehow inferior and needed to be redesigned. Clearly, that is false. Neither the USAF, RAF, Lufwaffe or the Japanese thought that the P-47 was inferior. They all recogized that it was the best high altitude fighter of the war, and it got better with each new update. Indeed, the ultimate derivative of the P-47 was the XP-72, powered by a 3,300 hp, 28 cylinder R-4360 engine. This Super-Jug, was able to attain 490 mph, running at reduced manifold pressure (and 415 mph at sea level). A production order was cancelled as being unneeded, and Republic received a contract for design and development of the XP-84 Thunderjet instead. Nonetheless, the P-72 was expected to be a true 500 mph fighter.
Now, to futher your education, I suggest that you read this
8 part article on the design, development and operations of the P-47.
My regards,
Widewing