I could be missing something because it's been a long time since I took physics, but I tend to disagree. The OP is talking about two different "PSI"s here: the pounds of air pressure exerted on any given square inch of the inside of the tire versus the pounds of pressure exerted by the vehicle onto the ground. By your reasoning it would seem that if you laid something on top of the tire, it would be exerting the same PSI as what is inside the tire...Yea, the fault in my reasoning is that some of the weight of the vehicle is carried by the sidewalls themselves.
Another factor in the equation is that your contact patch is a lot smaller due to the voids in the tread, so the PSI numbers for the contact patch would technically be a good bit higher than what they are...
That said, for the purposes of this thread, I think the calculations are sufficient. Good information for comparison. Good job, mudking!