As the bootstrap documents say, there are no options for dropdown menus... This is sad, but it means there is currently not a 'bootstrap' solution for the functionality you want. There is now, however, a solution in the Angular-UI/Bootstrap kit if you're using that. The ticket you referenced is closed because it was finally added to the Angular-UI as of July 15th 2015. 
All you have to do is 'Add dropdown-append-to-body to the dropdown element to append to the inner dropdown-menu to the body. This is useful when the dropdown button is inside a div with overflow: hidden, and the menu would otherwise be hidden.' (reference)
<div class="btn-group" dropdown dropdown-append-to-body>
  <button type="button" class="btn btn-primary dropdown-toggle" dropdown-toggle>Dropdown on Body <span class="caret"></span>
  </button>
  <ul class="dropdown-menu" role="menu">
    <li><a href="#">Action</a></li>
    <li><a href="#">Another action</a></li>
    <li><a href="#">Something else here</a></li>
    <li class="divider"></li>
    <li><a href="#">Separated link</a></li>
  </ul>
</div>
Hope this helps!
EDIT
In an effort to answer another SO question, I found a solution that works pretty well if you weren't using Angular-UI. It may be 'hacky', but it doesn't break the bootstrap menu functionality, and it seems to play well with most use cases I've used it for.
So I'll leave a few fiddles in case anyone else sees this and is interested. The first illustrates why the use of a body appended menu might be nice, the second shows the working solution:
Problem FIDDLE
The problem: a select dropdown within a panel body
<div class="panel panel-default">
  <div class="panel-body">
    <div class="btn-group">
      <button type="button" class="btn btn-default dropdown-toggle" data-toggle="dropdown">
        <span data-bind="label">Select One</span> <span class="caret"></span>
      </button>
      <ul class="dropdown-menu" role="menu">
        <li><a href="#">Item 1</a></li>
        <li><a href="#">Another item</a></li>
        <li><a href="#">This is a longer item that will not fit properly</a></li>
      </ul>
    </div>
  </div>
</div>
Solution FIDDLE
(function () {
    // hold onto the drop down menu                                             
    var dropdownMenu;
    // and when you show it, move it to the body                                     
    $(window).on('show.bs.dropdown', function (e) {
        // grab the menu        
        dropdownMenu = $(e.target).find('.dropdown-menu');
        // detach it and append it to the body
        $('body').append(dropdownMenu.detach());
        // grab the new offset position
        var eOffset = $(e.target).offset();
        // make sure to place it where it would normally go (this could be improved)
        dropdownMenu.css({
            'display': 'block',
                'top': eOffset.top + $(e.target).outerHeight(),
                'left': eOffset.left
        });
    });
    // and when you hide it, reattach the drop down, and hide it normally                                                   
    $(window).on('hide.bs.dropdown', function (e) {
        $(e.target).append(dropdownMenu.detach());
        dropdownMenu.hide();
    });
})();
EDIT
I finally found where I originally found this solution. Gotta give credit where credit is due!