Modal Datepicker Conflict

HTML

<script src="https://ajax.googleapis.com/ajax/libs/jquery/1.12.4/jquery.min.js"></script>
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
<script src="https://eternicode.github.io/bootstrap-datepicker/bootstrap-datepicker/js/bootstrap-datepicker.min.js"></script>
<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css">
<button type="button" class="btn btn-primary btn-lg" data-toggle="modal" 
  data-target="#brokenModal">
  Launch broken modal
</button>

<div class="modal fade" id="brokenModal" tabindex="-1" role="dialog" aria-labelledby="brokenModalLabel">
  <div class="modal-dialog" role="document">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">&times;</span></button>
        <h4 class="modal-title" id="brokenModalLabel">Broken datepicker modal</h4>
      </div>
      <div class="modal-body">
      <div class="col-xs-6">
        <div class="form-group">
          Select datepicker to trigger event
          <input type="text" id="startdateBroken" class="form-control">
        </div>
      </div>
      <div class="col-xs-6">
        <div class="broken-modal-text">
        
        </div>
        </div>
       <div class="clearfix"></div>
      </div>
      <div class="modal-footer">
        <button type="button" class="btn btn-default" data-dismiss="modal">Close</button>
      </div>
    </div>
  </div>
</div>


<button type="button" class="btn btn-primary btn-lg" data-toggle="modal" 
  data-target="#workingModal">
  Launch working modal
</button>

<div class="modal fade" id="workingModal" tabindex="-1" role="dialog">
  <div class="modal-dialog" role="document">
    <div class="modal-content">
      <div class="modal-header">
        <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span...

JavaScript

$("#brokenModal").on("show.bs.modal", function (e) {
	$(".broken-modal-text").append("<div>Opened modal</div>");
});

$('#startdateBroken').datepicker().on("show", function(e){
    $(".broken-modal-text").append("<div>Opened datepicker</div>");
});

$("#workingModal").on("show.bs.modal", function (e) {
	if(e.namespace !== "bs.modal") return;
	$(".working-modal-text").append("<div>Opened modal</div>");
});

$('#startdateWorking').datepicker().on("show", function(e){
    $(".working-modal-text").append("<div>Opened datepicker</div>");
});