Dear Avram,
I’m not advocating this as the ikar. I’m saying this is the basic idea. As in what a person who did not find his purpose in life, but is still interested in remaining a Jew.
Many terms can be used for Jews. Shomrei mitzvos is a common term. Balei nefesh is a really high level.
I doubt anyone’s commitment comes only from their awareness of Hashem. Bilam had a strong awareness of Hashem and moving else. So he was only absorbed in himself.
A committed Jew is one that maintains his Judaism as his own identity. I think your examples will also qualify as ‘a good Jew’. Your underselling just how many obligations the Torah puts on us.
The person with the personal beliefs that you outlined is rather stupid. That he still maintains all the mitzvos, is very special in the eyes of Hashem. What do you expect of such a person?
On your last paragraph, it depends what level you mean. A Jew with little insight into the divine, is limited in their spiritual growth. This is so obvious, it is almost redundant. But the basic level is there for him. A fully practicing atheist can say kiddush and kaddish for us. One is yotzei all the mitzvos that are designed for our awareness even if he is unaware of what they mean. Teffillin. Succah. Shabbos. Yom Tov. Tzitzis. Matzo. Marror. Etc.
The six constant mitzvos is a long topic. And I’m not changing anything. It’s the same idea for the gaddol hador as it is for the simpleton. The outcome is different. But the output is universal.
I posted that piece to clarify why all of chabad is within the parameters of normative Judaism, as much as any other group. It was never intended as the ideal.