JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="//netdna.bootstrapcdn.com/bootstrap/3.1.0/css/bootstrap.min.css">
<script src="//netdna.bootstrapcdn.com/bootstrap/3.1.0/js/bootstrap.min.js"></script>
 <h2>Stacked Bootstrap Modal Example.</h2>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
<p> lorem ipsum </p>
 <a data-toggle="modal" href="#myModal" class="btn btn-primary">Launch modal</a>

<div class="modal fade" id="myModal">
    <div class="modal-dialog">
        <div class="modal-content">
            <div class="modal-header">
                <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button>
                	<h4 class="modal-title">Modal 1</h4>

            </div>
            <div class="container"></div>
            <div class="modal-body">Content for the dialog / modal goes here.
                <br>
                <br>
                <br>
                <p>more content</p>
                <br>
                <br>
                <br>	<a data-toggle="modal" href="#myModal2" class="btn btn-primary">Launch modal</a>

            </div>
            <div class="modal-footer">	<a href="#" data-dismiss="modal" class="btn">Close</a>
	<a href="#" class="btn btn-primary">Save changes</a>

            </div>
        </div>
    </div>
</div>
<div class="modal fade rotate" id="myModal2">
    <div class="modal-dialog">
        <div class="modal-content">
            <div class="modal-header">
                <button type="button" class="close" data-dismiss="modal" aria-hidden="true">×</button>
                	<h4 class="modal-title">Modal 2</h4>

            </div>
            <div class="container"></div>
            <div class="modal-body">Content for the dialog / modal goes here.
                <br>
                <br>
               ...

CSS

/* crazy batman newspaper spinny thing */
 .rotate {
    transform:rotate(180deg);
    transition:all 0.5s;
}
.rotate.in {
    transform:rotate(1800deg);
    transition:all 1.5s;
}

JavaScript

$(document).ready(function () {

    $('#openBtn').click(function () {
        $('#myModal').modal({
            show: true
        })
    });

	$(document).on({
		'show.bs.modal': function () {
			var zIndex = 1040 + (10 * $('.modal:visible').length);
			$(this).css('z-index', zIndex);
			setTimeout(function() {
				$('.modal-backdrop').not('.modal-stack').css('z-index', zIndex - 1).addClass('modal-stack');
			}, 0);
		},
		'hidden.bs.modal': function() {
			if ($('.modal:visible').length > 0) {
				// restore the modal-open class to the body element, so that scrolling works
				// properly after de-stacking a modal.
				setTimeout(function() {
					$(document.body).addClass('modal-open');
				}, 0);
			}
		}
    }, '.modal');
});