Got the SB2 today and it`s not a keeper I`m sorry to say. I played around with different settings and it doesn`t do anything for me. If I kept it, I would need to put in a tone control and the bridge pickup has quite a low output which was quite a disappointment.
All in all, not as satisfying as my MIM P bass which it was going to replace so back to the shop tomorrow it goes. And to be honest, it was not as nice looking in the flesh as it looked online.
IOW, you'd want to re-engineer it to behave like all other typical PJ basses? Well the SB-2 is not for everyone, that's for sure, so I understand your disappointment. It takes a different mindset/approach to appreciate the intent behind this guitar. Those who "get it" seem to really like the SB-2 because it can go into a bolder sonic territory, despite its seeming tonal "limitations".
Other G&L bass models have come and gone over the decades, but the PJ SB-2 has endured. A bit of a niche bass for sure, but it excels greatly at what it does. There are a million other PJ basses from virtually every manufacturer in existence, past and present, but there is only one SB-2. I miss mine.
Good luck in your quest.