Nice! I will see how the stock bridge works and maybe try thisInvalid Link Removed offers a fully adjustable bridge that retrofits perfectly on '51-'56 P-Basses. I installed one on my 1956 P-Bass and I love it! I woulnd't have installed it if it wasn't 100% reversible.
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Concerning roundwound strings, I found the Fender 8250 NPS strings (that's the set with the tapered E-string) work quite well with through-body bridges. On the other hand, on a '51-'56 P-Bass, flatwounds are kinda mandatory...I like Chromes and EB Cobalt Flats.