JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.6/css/bootstrap.min.css">
<script src="https://code.jquery.com/jquery-1.12.0.min.js"></script>
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.6/js/bootstrap.min.js"></script>
<nav class="navbar navbar-fixed-top">

    <div class="navbar-default">
        <div class="container">
            <div class="navbar-header">

                <button type="button"
                        class="navbar-toggle collapsed pull-left"
                        data-toggle="collapse"
                        data-target="#megaNav"
                        aria-expanded="false"
                        aria-controls="navbar">
                    <span class="sr-only">Toggle navigation</span>
                    <span class="icon-bar"></span>
                    <span class="icon-bar"></span>
                    <span class="icon-bar"></span>
                </button>

                <button type="button"
                        class="navbar-toggle collapsed"
                        data-toggle="collapse"
                        data-target="#siteNav"
                        aria-expanded="false"
                        aria-controls="navbar">
                    <span class="sr-only">Toggle navigation</span>
                    <span class="icon-bar"></span>
                    <span class="icon-bar"></span>
                    <span class="icon-bar"></span>
                </button>

                <button type="button"
                        class="navbar-toggle collapsed"
                        data-toggle="collapse"
                        data-target="#authNav"
                        aria-expanded="false"
                        aria-controls="navbar">
                    <span class="sr-only">Toggle navigation</span>
                    <span class="icon-bar"></span>
                    <span class="icon-bar"></span>
                    <span class="icon-bar"></span>
               ...

CSS

.navbar .navbar-header .navbar-toggle.pull-left {
  margin-right: 0;
  margin-left: 15px; 
}

.dropdown-btn {
  margin-top: 10px;
  margin-right: 15px;
}

.search-input {
  margin-top: 0px;
  margin-bottom: 0px;
  padding-top: 0px;
  padding-bottom: 0px;
}

.search-input > form {
  margin: 10px 0;
}

@media screen and (max-width: 768px) {
  .dropdown-btn {
    position: absolute;
    top: -2px;
    right: 117px;
  }
}