Here is a jsFiddle with the mode switch: http://jsfiddle.net/ezanker/2ffpP/
In markup I created the date input with a mode of datebox.
<input name="Date1" id="Date1" type="date" data-role="datebox" data-options='{"mode": "datebox"}' />
Then in code within the pageinit switch the mode with $('element').datebox({opt, value}) (api doc here: http://dev.jtsage.com/jQM-DateBox2/demos/api/events.html
$(document).on('pageinit', '#page1', function () {
//check if iOS, if true run next line
$('#Date1').datebox({"mode": "flipbox"});
});
In the fiddle I also included a couple of buttons to toggle the mode back and forth...