How to access a side menu item through to a simple button?

<!DOCTYPE html>
<html>

  <head>
    <meta charset="utf-8" />
    <meta name="viewport" content="initial-scale=1, maximum-scale=1, user-scalable=no, width=device-width" />
    <title></title>
    <link data-require="ionic@1.0.0-beta.1" data-semver="1.0.0-beta.14" rel="stylesheet" href="http://code.ionicframework.com/1.0.0-beta.14/css/ionic.css" />
    <script data-require="ionic@1.0.0-beta.14" data-semver="1.0.0-beta.14" src="http://code.ionicframework.com/1.0.0-beta.14/js/ionic.bundle.js"></script>
    <script src="app.js"></script>
    <script src="controllers.js"></script>
  </head>

  <body ng-app="starter">
    <ion-nav-view></ion-nav-view>
  </body>

</html>

angular.module('starter', ['ionic', 'starter.controllers'])

.run(function($ionicPlatform) {
  $ionicPlatform.ready(function() {
    if(window.StatusBar) {
      StatusBar.styleDefault();
    }
  });
})

.config(function($stateProvider, $urlRouterProvider) {
  $stateProvider

    .state('app', {
      url: "/app",
      abstract: true,
      templateUrl: "menu.html",
      controller: 'AppCtrl'
    })
    
    .state('app.start', {
      url: "/start",
      views: {
        'menuContent' :{
          templateUrl: "menu-start.html"
        }
      }
    })

    .state('app.item1', {
      url: "/item1",
      views: {
        'menuContent' :{
          templateUrl: "item1.html"
        }
      }
    })
    
    .state('app.item1-child', {
      url: "/item1-child",
      views: {
        'menuContent' :{
          templateUrl: "item1-child.html"
        }
      }
    })

    .state('app.item2', {
      url: "/item2",
      views: {
        'menuContent' :{
          templateUrl: "item2.html"
        }
      }
    });
    
  // if none of the above states are matched, use this as the fallback
  $urlRouterProvider.otherwise('/app/start');
});

I built this plunker to try to explain my doubt.

Basically, I want to click in the button "GO TO ITEM 2" in the "Item 1 - Child" page and go to the "Item 2" as if I had clicked in the side-menu.
Running as an ionic app this icon doesn't appear. (here appears)
The page "Item 2" doesn't have the burger-icon :(

<ion-side-menus>

  <ion-pane ion-side-menu-content>
    <ion-nav-bar class="bar-stable">
      <ion-nav-back-button class="button-clear"><i class="icon ion-chevron-left"></i> Back</ion-nav-back-button>
    </ion-nav-bar>
    <ion-nav-view name="menuContent" animation="slide-left-right"></ion-nav-view>
  </ion-pane>

  <ion-side-menu side="left">
    <header class="bar bar-header bar-stable">
    </header>
    <ion-content class="has-header">
      <ion-list>
        <ion-item nav-clear menu-close href="#/app/item1">
          Item 1
        </ion-item>
        <ion-item nav-clear menu-close href="#/app/item2">
          Item 2
        </ion-item>
      </ion-list>
    </ion-content>
  </ion-side-menu>
</ion-side-menus>

angular.module('starter.controllers', [])

.controller('AppCtrl', function($scope, $state, $ionicHistory) {

  $scope.goToItem1Child = function() {
    $state.go('app.item1-child');
  }

  $scope.goToItem2 = function() {
    $ionicHistory.nextViewOptions({
      historyRoot: true
    });
    $state.go('app.item2');
  }

});

<ion-view title="Menu">
  <ion-nav-buttons side="left">
    <button menu-toggle="left" class="button button-icon icon ion-navicon"></button>
  </ion-nav-buttons>
  <ion-content class="has-header">
  </ion-content>
</ion-view>

<ion-view title="Item 1">
  <ion-nav-buttons side="left">
    <button menu-toggle="left" class="button button-icon icon ion-navicon"></button>
  </ion-nav-buttons>
  <ion-content class="has-header">
    <h1>Item 1</h1>
    <button class="button button-assertive" ng-click="goToItem1Child()">GO TO ITEM 1 CHILD</button>
  </ion-content>
</ion-view>

<ion-view title="Item 2">
  <ion-nav-buttons side="left">
    <button menu-toggle="left" class="button button-icon icon ion-navicon"></button>
  </ion-nav-buttons>
  <ion-content class="has-header">
    <h1>Item 2</h1>
  </ion-content>
</ion-view>

<ion-view view-title="Item 1 - Child">
  <ion-content>
    <h1>Item 1 - Child</h1>
    <button class="button button-assertive" ng-click="goToItem2()">GO TO ITEM 2</button>
  </ion-content>
</ion-view>