Right on the money, Andreas. In this case, it was not the armaments minister who dictated military production- it was Hitler. Speer would have also been subject to Hitler's "civilians equal" production policies.
You bring up the point that would make this interesting- what if Hitler had moved to a war economy earlier? That could have had a major influence.
Of course, the only problem there comes from german attitudes- it was not until AFTER experience in russia that the wehrmacht realized their equipment needed upgrades. Hence, even if total war had been implemented in 1939, I still wonder what kinds of equipment we would have seen. An increase in numbers of PzIII, for example, would have made very little difference. The PzIII was outclassed by the T-34, and Russia was already producing more than germany possibly could. More PzIIIs would have made a difference in N.Africa, but then again we run into the problem of maintinaing and fueling a larger number of tanks.

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Seriously, all today is missing is free cotton candy and the annual Bay State Hooker Parade to make it any better.