How to prepare my car for the dragstrip?

The rear tires are only P225-60R15s on 15" x 8" rims, but the early-early A-body ('60-'62) was really light, mainly because it was narrower than the later models, and it had a shorter wheelbase, so it is just prone to lift the front end. For some reason it hooks up and lifts the front end rather than burning rubber. I guess that's good, right?

Right now I have a Dana Power-Lock positraction in the 8-3/4" rear end, and it does weird things when you lift the front wheels. I'm actually wondering if an open diff would have been better.