Looks like Addco has a slightly oversized stabilizer bar available:
https://www.addco.net/product/pontia...1961-64-front/
I also think that there was a special equipment option for a rear stabilizer, but I haven't checked, yet.
Clearly, my '63 is not going to ever handle like my '06 STS-V. I'd just like to get the best "stock" handling I can out of her, and not the tired, 60+ year old (even with newer springs and new shocks) handling. :-)