If everything is in good working order and you have both electric fans working, you shouldn't be overheating. If you ONLY have the secondary electric fan, it will certainly overheat! If you have removed the mechanical fan without doing a full conversion to the dual electric fan configuration, then yes, you will overheat. But if you have done a complete dual electric fan conversion and all is working properly and it overheats, going back to a mechanical fan will not help any.
I have cars with the towing package and so the mechanical fan. The FIRST thing I do to these cars is covert to a dual electric fan setup. This involves wiring harnesses, a primary fan, 3 shorter bolts for the water pump, a different shroud setup, and to program the ECM to have the primary fan come on at the proper time.