Authchace_example module does not work on Drupal 7.

Patch here:

Update:
Pactch #1 get the module to work without breaking. But, I am still trying to figure out the javascript/Ajax part. It is not very well documented and I am trying to see how it is done in the main authcache module.
That said, I was able to make some progress and get the JS to trigger by:

1. Changing the function _authcache_authcache_example in ajax/authcache.php to

(simple diff)

 function _authcache_authcache_example($vars) {
-  include_once './includes/common.inc';
-  drupal_bootstrap(DRUPAL_BOOTSTRAP_PATH); // Use FULL if needed for additional functions
-
-  include_once dirname(drupal_get_filename('module', 'authcache_example')) . '/authcache_example.module';
-  return authcache_example_display_block_0();
+ // include_once './includes/common.inc';
+  //drupal_bootstrap(DRUPAL_BOOTSTRAP_PATH); // Use FULL if needed for additional functions
+  drupal_bootstrap(DRUPAL_BOOTSTRAP_FULL);
+ // include_once dirname(drupal_get_filename('module', 'authcache_example')) . '/authcache_example.module';
+  return authcache_example_display_block_example_test();

 }
 

2. Adding authcache_example_display_block_example_test to authcache_example.module in the following manner (because authcache_example_display_block_0 was not defined anyware)

function authcache_example_display_block_example_test() {
  global $user;
  // $_authcache_is_cacheable seems to be the right variable.
  $block_text = check_plain(db_query("SELECT block_text FROM {authcache_example} WHERE uid = :uid", array(':uid' => $user->uid))->fetchField());

  $output = t("Hello, !user, this is a customized block of content that can be cached by the browser.  Update it <a href=\"!url\">here</a>!", array('!user' => $user->name, '!url' => url("user/$user->uid/authcache_example")));

  $output .= "<p><strong class=\"error\">$block_text</strong></p>";

  return $output;
}

3. Change authcache_example.js to:

// Does this function have to be in the global scope? I could not get it to evaluate if not placed in global scope
function _authcache_authcache_example(vars) {
  console.log(vars);
  jQuery("#block-authcache-example-example .content").html("<tt><b>[cached by browser]</b></tt><br>" + vars);
}

(function($){
// Why can't we use drupal behaviors for the authcahce JS?
function authcacheExampleInit() {
  ajaxJson = {
    // The name of the function to call, both for ajax_authcache.php and
    // this file (see function above). The cookie value will change if
    // the user updates their block (used for max_age cache invalidation)
    'authcache_example' : $.cookie('authcache_example'),

    // Makes browser cache the Ajax response to help reduce server resources
    'max_age' : 3600
  }

  // Perform independent Authcache ajax request
  console.log(ajaxJson);
  var ret = Authcache.ajaxRequest(ajaxJson);
}

authcacheExampleInit();

})(jQuery);

However, the function _authcache_authcache_example is triggered before the DOM is ready and is not behaving properly.
I am somewhat familiar with the drupal behavior system and the way authcahe deal with js is still a bit vague to me.
Please let me know whether I am headed in the right direction or not and some pointers would be much appreciated. Also, I placed a few questions in the js code if anyone could help answering them.