I always thought of a crit bike as a custom frame with a short top-tube, short wheelbase, and steep angles. Which is also a good climbing bike. It's how I had my modern (non KOF) custom race frame built.
I think the build-up's you are interested in are more like 70's TT specific set-ups where lots of backyard tweaking and creative parts sourcing was tried?
Sounds like a fun project anyway, and I agree Weigle's 70's white TT bike is inspirational!
Jon Williams
Grants Pass OR USA