There has been a lot of debate regarding to retain or remove the thermostat. I have kept mine. As long as the cooling system is regularly maintained, the current set up should be fine. If it takes a while for the engine to warm-up, then the thermostat needs looking at.
The thermostat allows the engine to warm-up quickly reaching its operating temp before allowing the coolant to flow through. By letting the engine warm up as quickly as possible, the thermostat reduces engine wear, deposits and emissions.