According to
http://www.luftwaffe.cz/dusen.html:
The 40 German jet pilot aces shot down 357 enemy planes. Not counting the victories not confirmed due to the end of the war. And not including the kills by the other jet pilots. So in the end a number between 500- 1000 or more is much more realistic. So a kill ratio of 5- 10: 1 is outstanding for that times and situation.
But the discussion here is another: Could the axis have won the war? Yes, they could. But only without Hitler, Göring and the other gang.
So what were the strategic mistakes:
1. Not going on to full mobilization before 1943.
2. Not introducing weapons in the right situation and the right place, like the Me 262 as fighter or long range strategic bomber. Or the build up of a stronger fighter force.
3. Britain not invading (and the errors of the BoB on German sides). True, the Germans could not reach the British bases in the Midlands, but that would be not that problem as some here post. Indeed air superiority over the invasion area was neccessary but also enough. And with advancing, also English air fields coule be used.
4. Attacking Russia so late and not going for Moscow. Without Moscow, the road and railroad centre, the whole Russian infrastructure would have broken down, as there were no other ways to get massive forces fast to the south or north. That would have doomed all Russian forces west and south of Moscow.
5. Italy: The mistakes of Mussolini were already told. Attacking Greece, incompetence in North Africa, not taking Malta.
6. No real support for Rommel: With that support he would have managed to win the Africa war and take North Africa and the middle East, let Turkey join the war on German side, as well as liberating Iran from the Allied occupation- and so having the opportunity to attack Russia's oil reseves at Baku from the South.
7. Declaring war on the US before Britain is taken AND Russia doomed (I mean at least Moscow and the Baku area as well as the Ukraine taken).
Then the Axis had chances to win the war.
Adler