Auto Logout unconditionally unbinds existing :input events

I have a module that binds the 'click' event to a checkbox. When I enable the autologout module, my event is unbound by autologout.js:

    // Make form editing keep the user logged in.
    var events = 'change click blur keyup';
    $('body')
      .find(':input').andSelf().filter(':input')
      .unbind(events).bind(events, function () {
        activity = true;
      });

This breaks my own module's functionality. Looking at the page source, I see that my module's javascript is being loaded before autologout.js. (My module's .js file is loaded via drupal_add_js() in hook_init().)

There are 2 solutions I can think of:
1) autologout should maintain existing events, and not unconditionally unbind everything
2) autologout should ensure that autologout.js loads before the javascript provided by other modules & themes

I'm not sure what the preferred solution is. I personally wouldn't be confident trying to provide solution #1 (I've been to ie7/8 hell before). Solution #2 would be pretty simple to achieve by using drupal_add_js()'s "type" parameter to control the order (D6), or the "weight" option for D7.

ie: in D6, use the 'core' type to ensure it's loaded before module and theme:

  drupal_add_js(drupal_get_path('module', 'autologout') . "/autologout.js", 'core');

Thoughts?