It's definitely apparent that pointing users at the FAQ was a lazy and ineffective move. I'm working on making the front page a much better introduction to Quirk.
We're not generating Quirks pre-signup (e.g., on the front page as you've suggested) because we think it's better for the encoded URLs to have each user's vanity URL, rather than a random key. This'd be a cool thing to add via Facebook's Instant Personalization, though.
I agree that a good utility for encoding URLs in QR codes is a viable product. Sites and libraries exist for doing so, though none have any real mindshare. If the QR code flood is coming, a bit.ly for QRs is probably going to be a very useful tool. That said, it's not the product I want to build right now.
Thanks for pointing out that error. I'll fix that ASAP; the home page too (right now logged in users are automatically redirected to their account views from the home page).