Use parseFormats when you create your date picker:
jQuery("#testDate").kendoDatePicker({
"format": "M/d/yyyy",
parseFormats: ["yyyy-MM-ddTHH:mm:ss"],
"min": new Date(1900, 0, 1, 0, 0, 0, 0),
"max": new Date(2099, 11, 31, 0, 0, 0, 0)
});