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I would implement hook_node_access() to allow anonymous user to see the nodes on the front page (use the function drupal_is_front_page()):

function MYMODULE_node_access($node, $op, $account) {
  if ($op == 'view' && drupal_is_front_page() && $account->uid == 0)
     return NODE_ACCESS_ALLOW;
  }
  return NODE_ACCESS_IGNORE;
}