They make a LSD that is a factory option, why not just upgrade?
A locked diff is pretty rubbish to drive with and even for drifting a LSD is a far superior option, if you're serious about drifting your B series do it properly, ditch the frame, make a tube frame, get rid of the torsion and leaves and run coil overs, you'll get better results if you change the rear axle to a IRS setup, which will give more control over suspension geometries, might as well ditch the 2.2 motor and run something with nads like a NA rotary, sr20det, Nissan v6, or 2jz.
Or if you just want to flick a few donuts and have some fun, get a spare rear axle setup from a donor, weld that, destroy it, and replace your factory assembly later on.
It won't break the axles, but the gears will eventually break!
Normal driving will scrub the tires, so don't expect them to last long either.