What I can suggest you is to create a custom UserControl, place inside it the DateTimePicker and the required buttons and use the UserControl after that instead of the DateTimePicker. This is the solution for the moment as the Click event is handled in the DateTimePicker and if you add the buttons in the ControlTemplate they won't work as expected in Silverlight application. Please check the attached sample project which demonstrates the approach.
Hope this will help you.
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