MIM P Midnight wine red...major cosmetic and parts upgrade:

just be careful not to spend too much, or else you would be better off trading it in on a MIA P.

 

You can always purchase the new maple neck from Fender..and sell your R.W. neck to recoup some $$$. 1/2 the fun is modding the bass to YOUR style/needs. If it is a hobby...what the hell.... do what you want to make it yours and you won't find another one like yours. You will,,if you buy a new off the shelf bass either MIA or not.

 

Red tortoise or red pearl looks good.
Ever since I saw a Midnight Wine Jazz bass with a red pearl pickguard, I've wanted one.

 

Hmmm... if it weren't for the BAII, I'd say put a chrome cover on the bridge – that's always a classy addition to any P Bass, IMO.

If you're going with a white PG, how about a white pickup cover to match it?

 

Gotta love modifying stuff!! My $0.02.
For the pickups, Aguilar 4P60's (although the 4P-Hot's may give you more lows).
For the bridge, a Fender Pure Vintage 60's style bridge with grooved saddles.
+1 to the thumbrest, but I'd put it below the G-string in the 60's position.
+1 to the rosewood fingerboard too.

Oh, and midnight wine is a gorgeous colour. Very jealous.

 

Well, for me the thumbrest / tugbar is cosmetic, so it doesn't get used. In the 60's position it is out of the way for fingerstyle playing. I will admit that it gets in the way if you play slap.

 

Reverse tuners just turn in reverse from contemporary tuners. My '65 has them, I know they were used in the 60's, but I'm not sure of the years.

 

IMO, go with the CS '62 or GZR p-up. I have an SPB-3 in my 96 P...it's WAAAAY too hot!

 

They're the same ones used on the Classic 50's P. Any Fender rep can order them but they're like $18-20 each. IMO, if your tuners work well, skip this step for now.

 

Here are my suggestions:

I wouldn't bother with the thumb-rest unless you are going to use it or going for a vintage vibe.
I think a Tort guard might look pretty sweet, but maybe find other basses with the same finish that have different PG combos, to see if there's one that jumps out at you.
Keep the BAII unless you are looking for a vintage vibe, in which case go with a Fender vintage bridge.
A Hipshot D-tuner will run you $65 USD, and then $60 USD if you want to replace the rest of the tuners. unless the MIM tuners are total garbage, I would just get the D-Tuner that works with MIM tuners and you save yourself the $60.
Can't help with the pickups.
A new neck with a maple board from Fender is $199 USD. These are the same necks used on the MIM basses. I wouldn't do it if your generally prefer a rosewood board on a Precision.

Of course, you can do these upgrades over time. You are looking at over $400 in upgrades at this point if you do it all at once.

 

Black pearl for the pickguard I think would make it look different. Similar to this strat.

 

The '62 Reissue pickup is a great mod. I personally think the Badass II is hideous and not an upgrade as far as sound goes. Someone recently posted a photo of a wine colored bass with a tort guard and it looked amazing. Like, now I need one of those in my collection.