JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/css/bootstrap.min.css">
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.7/js/bootstrap.min.js"></script>
<div class="container">

  <div id="myCarousel" class="carousel slide" data-ride="carousel" data-interval="">

    <!-- Indicators -->
    <ol class="carousel-indicators nav nav-pills nav-justified">
      <li data-target="#myCarousel" data-slide-to="0" class="active">
        <a data-toggle="pill" class="js-link js-link-0" href="#1">1</a>
      </li>
      <li data-target="#myCarousel" data-slide-to="1">
        <a data-toggle="pill" class="js-link js-link-1" href="#2">2</a>
      </li>
      <li data-target="#myCarousel" data-slide-to="2">
        <a data-toggle="pill" class="js-link js-link-2" href="#3">3</a>
      </li>
    </ol>

    <!-- Wrapper for slides -->
    <div class="carousel-inner" role="listbox">

      <div class="item active">
        <img src="https://placehold.it/50x50">
        <img src="https://placehold.it/50x50">
        <img src="https://placehold.it/50x50">
        <img src="https://placehold.it/50x50">
        <div class="carousel-caption">
          <h3>Chania</h3>
          <p>The atmosphere in Chania has a touch of Florence and Venice.</p>
        </div>
      </div>

      <div class="item">
        <img src="https://placehold.it/50x50">
        <img src="https://placehold.it/50x50">
      </div>

      <div class="item">
        <img src="https://placehold.it/50x50">
        <img src="https://placehold.it/50x50">
        <img src="https://placehold.it/50x50">
        <div class="carousel-caption">
          <h3>Flowers</h3>
          <p>Beatiful flowers in Kolymbari, Crete.</p>
        </div>
      </div>

    </div>

  </div>

  <div class="tab-content">

    <div id="1" class="tab-pane fade in active">
      <h3>Menu 1</h3>
      <p>Some content in...

CSS

.carousel-inner>.item>img {
    display: inline-block;
}

.carousel {
  margin-top: 40px;
}

.carousel-indicators {
  top: -40px;
  bottom: 0;
}

.carousel-indicators li {
  margin: 0;
  border: none;
  text-indent: 0;
  padding: 0 15px;
  width: 0;
  height: 0;
}

.carousel-indicators .active {
  width: 0;
  height: 0;
}

.carousel-indicators li a {
  width: 38px;
}

.carousel-control {
  width: 0%;
}

.glyphicon {
  color: grey;
}

.carousel-control .glyphicon-chevron-left {
  margin-left: 10px;
  top: 20px;
}

.carousel-control .glyphicon-chevron-right {
  margin-right: 10px;
  top: 20px;
}

@media screen and (min-width: 768px) {
  .carousel-control .glyphicon-chevron-left {
    margin-left: 10px;
    top: 50%;
  }
  .carousel-control .glyphicon-chevron-right {
    margin-right: 10px;
    top: 50%;
  }
}

JavaScript

$(document).ready(function() {

  var tabs = Array.prototype.slice.call(document.querySelector(".nav").children, 0);
  
  $('.glyphicon').on('click', function(e) {

    var event = jQuery.Event('click');
    
    tabs.forEach(function(item) {

      if ( $(item).hasClass('active') ) {
      	
        var id = parseInt( item.getAttribute('data-slide-to') );
        
        if ( $(e.target).hasClass('glyphicon-chevron-left') ) {
          if (id == 0) {
            id = tabs.length-1;
          } else {
            id -= 1;        
          }
        }
        
        if ( $(e.target).hasClass('glyphicon-chevron-right') ) {
          if (id == tabs.length-1) {
            id = 0;
          } else {
            id += 1;
          }
        }

      	var elem = '.js-link-' + id;

      	jQuery(elem).trigger(event);
        
      }
      
    });
    
  });

});