Forms - Clone form with different url + theme
You can create path(url) alias for this. Using alias the same url will be called.
Regarding theme you can alter form with some condition to assingn different theme.
e.g.

function YOURMODULE_form_alter(&amp;$form, &amp;$form_state, $form_id) {
 if(SOME_CONDITION){
  $form['#theme'] = 'FORM_THEME1'
 }else{
  $form['#theme'] = 'FORM_THEME2'
 }
}