I've done this experiment, with a very large transformer, and the results were horrible. It was actually a project that put me off so much that I abandoned the Crack type headphone amp circuits for a few years.
If you want to repeat the experiment, grab a dedicated 6.3V transformer with 6-10A of current. The PT-3 in the Crack can provide sufficient high voltage current to run two 6080's.
-PB