Both the Ph.D. and J.S.D. degrees are appropriate if you intend on entering an academic career. However, the biggest distinction would be in whether you would like to enter an academic career in the U.S. or outside of the U.S. If you intend to pursue a career in the U.S., the Ph.D. would be recommended, whereas the J.S.D. would be recommended for those intending to pursue a career outside of the U.S.
For more information on Berkeley Law’s J.S.D. program, you can reach out to adpoffice@law.berkeley.edu