It looks like it should be fairly strait forward to add the time picker based on the documentation on the site.
add the link to the time picker JS file on that site.
add the CSS that they give forthe time picker, then edit the datepicker that is added to change:
$('#datepicker_1').datepicker({
you may have a different ID, to use the datetimepicker instead:
$('#datepicker_1').datetimepicker({
should be fairly easy to implement, but we cannot offer support for it.