The thermostat moves the slide valve, and the pin that extends below it moves a lever in the pump that controls enrichment. As the engine warms up and the bulb in the thermostat expands, the air valve closes and enrichment is reduced. If you use the adjusters to lengthen the plunger rod, the air and enrichment will shut off sooner.
But from what you are saying, I think this amount of extra fuel is beyond the WRD to supply, and that you should check the starting aids for correct operation before messing with the shims or the length of the rod.
Cheers & good luck,