@joeblow65 The lathe bed on my 3800 lb LeBlond lathe twists easily, as does the bed on Top Lipton's 6500 lb TOS lathe. Do what you want, but your are losing all the accuracy of your lathe. The headstock needs 4 feet for a lathe of that type and size. you are re-engineering the lathe without the benefit of drawing the force diagramme or doing an FEA.
Machinists fix this problem all the time. We make 6 pucks, usually from solid steel, to one each under each foot. It has nothing to do with strength of your casters. Strength does not equal rigidity.
If you *want* a mobile base, that is an entirely different thing. A very long discussion.