Should you run a car without a thermostat?

I'll probably regret this, but here goes.

Thermostats do not alter the path of water flow inside the engine. They simply add the radiator into the circulation loop. While the pressure in the cooling system may drop slightly IMMEDIATELY after the T-stat opens, the pressure will be equalized very rapidly by the pump because the cooling system is a closed system. The water pump provides the same pressure at a given RPM regardless of whether the radiator is in the system or not. If the pressure (RPM) remains constant, the velocity changes only based on the size of the passageways in the engine. The passageways in the engine do not "see" the passageways in the radiator, and are unaffected by adding it into the system. The flow velocity at a given location will only change with the rpm's of the engine, as the pump's output pressure will change with RPM.

Furthermore, thermostats do not "cycle". They open at a set temperature, and remain open until the temperature cools below that setting.

So, lets say its 105* outside. Your car warms up fast, and your T-stat opens at 180* (just one example, I know they come in other temperatures). But its damn hot, so your car's temperature goes up to 195* and stays there. The T-stat remains open. It doesn't have a timer, it's set up strictly on temperature. Since the water temperature never cools below 180*, the T-stat doesn't close. So, now you're running around with the T-stat open. Based on Southernman's theory of water flow, at least as I understand it, water would not reach the back of my engine under these conditions.

But, that's obviously false. Why? because if that were the case, everytime my water temperature went above 180* and stayed there, I'd cook the rear cylinders of my block. Since my car routinely runs above 180*, sometimes for hours and hours on end without pause, there's no possible way its being starved of water flow.