How do I hide text format options in node view with in place editing?
You can find multiple questions/answers to this problem in this site... One of the most recommeded approach is using hook_form_alter hook: example:

function MY_MODULE_OR_THEME_form_alter(&amp;$form, &amp;$form_state, $form_id) {

  // dpm($form);
  // dpm($form_id);

  if($form_id == 'MY_NODE_FORM_ID') {
    $form['#after_build'][] = 'custom_my_node_form_after_build';
  }
}

function custom_my_node_form_after_build($form) {
  // dpm($form);
  // Find the right field's format option with dpm() function

  $form['MY_FIELD']['und']['0']['format']['#access'] = FALSE;
  return $form;
}