So Weight Quote is telling you $0 = 0 lbs. shipping weight? Sounds like this isn't a shipping quotes problem then. Time to inspect your database to make sure the product weights are really in there ... strange problem!
Alrighty...
I disabled the "Cart Links" module, which I had enabled, assuming I might use it in the future. 
The Weight Quote now seems to work with $1/lb. With USPS enabled, and Weight Quote disabled, I'm now getting
"There were problems getting a shipping quote. Please verify the delivery and product information and try again.
If this does not resolve the issue, please call in to complete your order."
This occurs without the XML error from USPS being spit out as it was before, even though the debug info is turned on. I looked in the uc_products table, and the weight is in there.
Joined: 01/28/2008