datepicker should update input box on month/year selection from dropdown

We have a usability issue with current behavior of datepicker. When the user alters the month/year using the drop downs, it doesn't reflect immediately on the input box. If it did so, it could help our users quickly alter month or year with less number of clicks.

I've added a modification to my version, here's the patch - http://paste.pocoo.org/raw/398309/ and a demo of how it function afterwards - http://www.youtube.com/watch?v=x84Vy-mmGy0

I think my modification might not be the best way to do so. Let me know what could be the right way if this seems a bit hackish. Since we wish to continue updating our versions of jquery components in future, would love to have a compatibility.

Thanks