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I've posted plenty here on determinism and why I think it's false; basically, it doesn't allow for moral action, and I take moral action as a given.
I believe that the interpretation you give is the Copenhagen interpretation, which is the more prominent among physicists. But I don't think there's anything about Heisenberg's law which compels it.
In any case, even if the activity of elementary particles is random, that doesn't help the free will case, since random activity isn't any more free than determined activity.
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"Die Deutschen meinen, daß die Kraft sich in Härte und Grausamkeit offenbaren müsse, sie unterwerfen sich dann gerne und mit Bewunderung:[...]. Daß es Kraft giebt in der Milde und Stille, das glauben sie nicht leicht."
"The Germans believe that power must reveal itself in hardness and cruelty and then submit themselves gladly and with admiration[...]. They do not believe readily that there is power in meekness and calm."
-- Friedrich Nietzsche
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