What I meant by “external” mitzvah was simply that the examples he gave were only of mitzvahs that are obvious for all to see when they are kept. Mitvas like Shabbos, kashrus, taharas hamishpacha, believing in Hashem, mitzvos bain adam lachavairo, brochos, etc. where women are equally michuyav. In fact, there are SEVEN mitzvos that women are not mechuyav in and the OP chose to harp on those. That gives a cursory glance at the obvious (external) mitzvos of men and says those are conditions of being a Jew.
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