Bootstrap 3 and YouTube in Modal

I'm trying to use the Modal feature from Bootstrap 3 to show my YouTube videos. It works, but I can't click on any buttons in the YouTube video.

How can I fix it?

Here's my code:

<div id="link">My video</div>

<div id="myModal" class="modal fade" tabindex="-1" role="dialog" aria-labelledby="myModalLabel" aria-hidden="true">
    <div class="modal-dialog">
        <div class="modal-content">
            <div class="modal-header">
                <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button>
            </div>
            <div class="modal-body">
                <iframe width="400" height="300" frameborder="0" allowfullscreen=""></iframe>
            </div>
        </div>
    </div>
</div>

<script src="//ajax.googleapis.com/ajax/libs/jquery/1.10.1/jquery.min.js"></script>
<script>window.jQuery || document.write('<script src="js/jquery-1.10.1.min.js"><\/script>')</script>
<script src="js/bootstrap.min.js"></script>
<script>
    $('#link').click(function () {
        var src = 'http://www.youtube.com/v/FSi2fJALDyQ&amp;autoplay=1';
        $('#myModal').modal('show');
        $('#myModal iframe').attr('src', src);
    });

    $('#myModal button').click(function () {
        $('#myModal iframe').removeAttr('src');
    });
</script>

I found this problem (or the problem I found and described at https://github.com/twbs/bootstrap/issues/10489) related to CSS3 transformation (translation) on the .modal.fade .modal-dialog class.

In bootstrap.css you will find the lines shown below:

.modal.fade .modal-dialog {
  -webkit-transform: translate(0, -25%);
      -ms-transform: translate(0, -25%);
          transform: translate(0, -25%);
  -webkit-transition: -webkit-transform 0.3s ease-out;
     -moz-transition: -moz-transform 0.3s ease-out;
       -o-transition: -o-transform 0.3s ease-out;
          transition: transform 0.3s ease-out;
}

.modal.in .modal-dialog {
  -webkit-transform: translate(0, 0);
      -ms-transform: translate(0, 0);
          transform: translate(0, 0);
}

Replacing these lines with the following will show the movie correctly (in my case):

.modal.fade .modal-dialog {
  -webkit-transition: -webkit-transform 0.3s ease-out;
     -moz-transition: -moz-transform 0.3s ease-out;
       -o-transition: -o-transform 0.3s ease-out;
          transition: transform 0.3s ease-out;
}

.modal.in .modal-dialog {

}