Gotcha. I'd tend to say no- if Hitler had gone for the total war idea early on, it would have saved germany much trouble with the war effort. Speer probably would not have made a huge difference. Not only would more war materials be available earlier, but the whole economy would be geared towards war. This would allow for much easier adjustments, to, say, modernising tanks or mass-producing weapons. This would really change the whole complexion of the war- many of the later "what if?"s we have talked about would be taken in a new light- the allied bomber offensive comes to mind. More FlaK and more german fighters....
The main problem I see with the whole "total war earlier" idea is, again, fuel. Fuel was essentially finite- even synthetic fuel had to be made from coal. And I'd have to say that fuel shortages would still have drastically hampered the germans. True, they could have a far greater degree of mechanization- all of which does no good if your mechanized armies have no gas to move. More jets, more U-Boats- all this runs into the same problem. The germans hardly had enough fuel to support their war effort in 1943- where would they have gotten more? The total war idea in 1939 would have adressed all but that one glaring issue.

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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.