show account email input box in content profile edit page

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Yeah, I am lookin for exactly the same functionality :)

Currently I'm trying to use a rule which redirect from the node edit form to the user account edit form (which has the content profile edit tab)... The solution is not yet working, I need some time to write the correct rule :-p

Subscribing. I need the same functionality. Generally speaking, is it possible to include other fields from core's user account like e.g. upload picture in the content profile content type?

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Here is a solution I'm using and seems to work. It's a reduced version of a custom module (it is called "usuarios", spanish word for users). It has some extra bits I think are useful for consistency and I've tried to document it as clear as possible. Hope it helps.

/**
 * Implementation of hook_perm().
 *
 * Declare a new permission to restrict user page tabs to some users.
 */
function usuarios_perm() {
  return array('view user tabs');
}

/**
 * Implementation of hook_menu_alter().
 *
 * Declare new access control to drupal user's view and edit pages.
 * it will also hide related tabs.
 */
function usuarios_menu_alter(&$items) {
  $items['user/%user/view']['access callback'] = 'user_access';
  $items['user/%user/view']['access arguments'] = array('view user tabs');
  $items['user/%user_category/edit']['access callback'] = 'user_access';
  $items['user/%user_category/edit']['access arguments'] = array('view user tabs');
}

/**
 * Implementation of hook_form_alter().
 */
function usuarios_form_alter(&$form, &$form_state, $form_id) {
  switch ($form_id) {
    case 'profile_node_form':
      // If user is editing her profile, add password and mail fields.
      if (!is_null($form['nid']['#value'])) {
        global $user;
        $form_state = array();
        // Load drupal user edit form.
        $form2 = user_edit_form($form_state, $form['uid']['#value'], (array)$user);
        // We only want password and email.
        $form['account'] = array();
        $form['account']['mail'] = $form2['account']['mail'];
        $form['account']['pass'] = $form2['account']['pass'];
        // Automagically user fields validation is done (haven't investigated why it happens but it works :))
        // So there's no need to add a custom validation callback.
        //$form['#validate'][] = '_usuarios_account_form_validate';
        // Attach our own submit callback to handle extra fields.
        $form['#submit'][] = '_usuarios_account_form_submit';
      }
      break;
  }
}

/** 
 * Custom submit callback function. We need to save drupal user fields.
 */
function _usuarios_account_form_submit($form, $form_state) {
  global $user;
  $edit = array(
    'pass' => $form_state['values']['pass'],
    'mail' => $form_state['values']['mail'],
  );
  user_save($user, $edit);
}

Another approach is done in content_profile_registration. I think it can be also used for the use case exposed in this issue.

Code from #8 works very well with content profle 1.0, thanks jonhattan!