Backdrop's not the problem. Not being able to scroll through shown modals if the top one is closed is.
You should add the following Javascript:
$('.modal').on('hidden.bs.modal', function (e) {
if($('.modal').hasClass('in')) {
$('body').addClass('modal-open');
}
});
demo: http://jsfiddle.net/u038t9L0/1/
When the body has class modal-open
the following CSS will be applied for your .modals
:
.modal-open .modal {
overflow-x: hidden;
overflow-y: auto;
}
Closing the modal will remove the modal-open
class from the modal too.