Big Week did all of that. The Luftwaffe was not able to interfere with the Normandy invasion. However, Big Week was not a cakewalk. It put a lot of stress on the American aircrews and ground crews to make this effort. American losses were also high, and crew morale had some rough spots. But we could take the losses. The Luftwaffe could not.
In 1944, the U.S. built an astonishing 96,270 military aircraft. That compares with 3,611 in 1940. Amazing.