and by the way, this is not an He280 (see loomaluftwaffe's siggy to see one), but a DFS194, the prototype of the Me163.
And no, should the Me262 have been produced in numbers from 1942, it wouldn't have 'saved' Germany. The Nazis had declared war on too many countries and there was no way to escape from being crushed from both sides, east and west.
Allies were also building jet aircraft (Bell P59, Gloster Meteor, BI-1 in USSR), but their policy was saturation bombing and massive destruction of german industrial potential. They didn't lack human resources and needed reliable efficient aircraft, so they produced those in numbers.
On the other side, Germany had less and less pilots and needed each aircraft they could get airborne to be as destructive as possible. That's why they made experimental machines operational. Most of those designs were further used postwar. The Bell X1, the rocket powered plane that broke the wall of sound, really looked like a little brother to the Me163.
It is said in books that german test pilot Heini Dittmar has exceeded mach1 during the war in a 163.