Can you elaborate a bit on what the benefits of embracing that calculus are? Or maybe provide some pointers? I'm having trouble imagining what utility there is in treating untyped languages as (uni)typed. I said in another comment that it's pretty much a useless notion, but I'm genuinely curious if I'm overlooking something.
Probably the best one I can think of is that it gives you a natural way of looking at gradual typing. Doing gradual typing well is still tough, but you can see it as an obvious consequence of the unityping argument.