============= This code does not work, however, it works on every browser except IE11 (11.0.9600.17728) =============
<script src="//code.jquery.com/jquery-1.11.3.min.js"></script>
<input onClick="dispatchAll()"  type="button" id="Btn2" value="Dispatch All Units" class="btnStyle span3" />
<script type="text/javascript">
function dispatchAll() {
    $.post("#",
            {
                dispatchAllUnits: true
            },
    function (data) {

    }
    );
    return false;
}
</script>

============= This code works =============
<script src="//code.jquery.com/jquery-1.11.3.min.js"></script>
<input onClick="dispatchAll()"  type="button" id="Btn2" value="Dispatch All Units" class="btnStyle span3" />
<script type="text/javascript">
function dispatchAll() {
    $.ajax({
        type: "POST",
        url: 'index.php',
        data: {
            dispatchAllUnits: true
        },
        success: function () {

        },
        error: function () {
            alert('dispatchAll() failure');
        }
    });
    return false;
}
</script>

============= Some more notes =============
For the second code it refused to work with # on IE, however, that's not a big deal ill  just type index.php instead.