Kant and Strawson on the Objectivity Thesis

In the Transcendental Deductions, Kant attempts to establish the necessary applicability of the categories to what is encountered in experience. As I see it, the argument is intended to deduce two distinct, but, in Kant's eyes, interrelated, claims. The first is that it is a necessity that experience be of an objective world. Call this rough idea the objectivity thesis. The second thesis is that the categories apply only to mere appearances, that is, the world insofar as we structure it. Call this the idealist thesis. P. F. Strawson attempted to split the two claims in order to save the objectivity thesis from what he saw as its unnecessary idealist trappings. My thesis is that the objectivity thesis depends upon the idealist thesis and cannot survive on its own.