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The only thing you would have to worry about is kinetic resolution. One of the enantiomers of your product may react a lot more slowly than the other. The Noyori reduction usually overrides the stereochem of the starting material, so it might also be that both enantiomers would be reduced enantioselectively and give products which are diastereomers.
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So, you mean to say that even if I use R or S BINAP, since Noyori reduction overrides stereochem of the starting material, I might get the racemic product???
The other thing I am concerned is, if I would be able to reduce the enol with Noyori's catalyst because of the inherent stability of that C=C.