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()
    });

    $('.modal')
        .on({
            'show.bs.modal': function() {
                var idx = $('.modal:visible').length;
                $(this).css('z-index', 1040 + (10 * idx));
            },
            'shown.bs.modal': function() {
                var idx = ($('.modal:visible').length) - 1; // raise backdrop after animation.
                $('.modal-backdrop').not('.stacked')
                .css('z-index', 1039 + (10 * idx))
                .addClass('stacked');
            },
            'hidden.bs.modal': function() {
                if ($('.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);
                }
            }
        });
});