You say you want to display "friends birthday module". Does that mean that it has to detect the birthday of one (or all) of your friends? Or your own birthday?

In any case, the general code for detecting if you are on your own profile page instead of someone else's would be this:

if ($option == "com_comprofiler") {

  $task = JRequest::getVar('task');

  if ($task == 'userDetails' or $task == 'userProfile' or $task == 'manageConnections' or $task == '') {

    $user_from_url = JRequest::getInt('user',0);

    if ($user_from_url == 0 or $user_from_url == $user->id) return 101;

  }

}

I think that does what you want - only includes module 101 when you are logged in and on your "own" profile page.

I hear you! I'm prototyping some ways to incorporate these sorts of rules into MetaMod without cluttering up the interface. It's challenging.

Best regards,
Stephen