JSFiddle - React, Tailwind, and code Playground

HTML

<link rel="stylesheet" href="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/css/bootstrap.min.css">
<script src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.5/js/bootstrap.min.js"></script>
<div class="wrapper">
  <div class="row no-gutter" id="nav-wrapper">
    <div class="col-s-8">
      <nav class="navbar navbar-default">
        <!-- Brand and toggle get grouped for better mobile display -->
        <div class="navbar-header">
          <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#bs-nav" aria-expanded="false"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar"></span> <span class="icon-bar"></span> <span class="icon-bar"></span>
          </button>
          <a class="navbar-brand hidden-xs" href="#"><img alt="Rwc 2015 logo" src="/assets/RWC-2015-logo.png" /></a>
          <a class="navbar-brand visible-xs" href="#"><img alt="Rwc 2015 logo" src="/assets/RWC-2015-logo.png" /></a>
        </div>
        <!-- Collect the nav links, forms, and other content for toggling -->
        <div class="collapse navbar-collapse" id="bs-nav">
          <ul class="nav navbar-nav">
            <li><a class="dropdown-toggle" data-method="get" href="/">Home</a></li>
            <li><a data-method="get" href="/matches">Matches</a></li>
            <li><a data-method="get" href="/pools">Pools</a></li>
            <li><a data-method="get" href="/match_picks">Your Picks</a></li>
            <li><a data-method="get" href="/leagues">Leagues</a></li>
            <li><a data-method="get" href="/venues">Venues</a></li>
          </ul>
        </div>
        <!-- /.navbar-collapse -->
      </nav>
      <!--end nav-->
    </div>
    <!--end col9-->
    <div class="col-s-4">
      <div class="login">

        <ul class="nav navbar-nav">
          <li class="dropdown">
            <a href="#" class="dropdown-toggle" data-toggle="dropdown">
                        [email protected] 
                  <b class="caret"></b>
...

CSS

.wrapper {
  padding-left: 15px;
  padding-right: 15px;
  padding-bottom: 60px;
  margin: 0 auto;
  position: relative;
  z-index: 1;
}

.wrapper .navbar-default {
  margin: 0px;
  padding: 0px;
  width: 100%;
  position: fixed;
  border-radius: 0px;
}

.navbar-default .navbar-collapse {
  background: #f5f5f5;
}

.wrapper .login {
  display: inline;
  position: fixed;
  right: 0px;
  height: 50px;
  border: transparent;
  border-radius: 0px;
}

.wrapper .login .btn-group {
  color: #555;
  padding-top: 10px;
}

.wrapper .login .btn-group .dropdown-menu {
  right: 0;
  left: auto;
  margin-top: 10px;
}

.wrapper .login .btn-group .btn-drop {
  background: none;
  border: none;
  outline: none;
  box-shadow: none;
}

.navbar-default .navbar-toggle {
  float: left;
}

.no-gutter >[class*='col-'] {
  padding-right: 0;
  padding-left: 0;
}

@media (max-width: 767px) {
  .navbar-default .navbar-toggle {
    left: 10px;
  }
  .navbar-brand {
    padding: 0;
  }
  .navbar-brand img {
    margin-top: 10px;
  }
}

.navbar-nav li {
  padding-top: 5px;
  padding-bottom: 5px;
}

.navbar-nav > li a {
  padding: 12px;
  font-size: 125%;
  font-weight: bold;
  text-transform: uppercase;
  font-family: 'Oswald', sans-serif;
}

.navbar-nav a:hover,
.navbar-default .navbar-nav > .active > a,
.navbar-default .navbar-nav > .active > a:hover,
.navbar-default .navbar-nav > .active > a:focus {
  background: #0383c0 !important;
  color: #fff !important;
}

.navbar-brand img {
  margin-bottom: 5px;
  margin-left: 5px;
}