A Question For the Rabbi; Can There Be Jewishness Without Moses and Aaron? Would There Have Been Jewishness If Not For Moses and Aaron?

The question: "I doubt that there is some sort of cosmic vibration that a Jewish mother's womb gives off that makes her offspring Jewish.
It seems that the vehicle for transmission of the Jewish message is patriarchal, the way Ethics of Our Fathers seems to indicate.  For example, 1:1 "Moses received the Torah from Sinai and gave it over to Joshua. Joshua gave it over to the Elders, the Elders to the Prophets, and the Prophets gave it over to the Men of the Great Assembly..."

I was told by the Rabbi that while educational tradition is passed down by the father.  The essence is passed on by the mother.

"The Torah explicitly forbids intermarriage. The source is in Deuteronomy 7:3-4,

You shall not intermarry with them; you shall not give your daughter to his son, and you shall not take his daughter for your son, for he will cause your child to turn away from after Me and they will worship the gods of others." http://www.chabad.org/library/article_cdo/aid/108396/jewish/Intermarriage.htm

I personally admit to my audience.  I have committed idolatry.  I don't even necessarily think it was my fault, as I didn't know any better.  Possibly, it was because my father instructed me in faithless science.  Chemical imbalance caused me to be hyper-sexual for which my dad did turn my head to the wrong direction, suggesting masturbation is good.  The Bible says however, "And, they will worship the gods of others," and that much does not describe me.  I committed idolatry, but refrain from worship because I believe my idol to be horrible and that I would die if I believed in her.  So, I fled.  I moved much the same way where if someone has committed murder moves to a city of refuge, according to biblical command.  When I committed idolatry, Hashem intervened and to His surprise I suddenly believed in the Gd of the Israel.  My life has never been the same, as I have received both forgiveness and blessing from Hashem.  The only hint that mom is Jewish is that she told me never to lie.

Edomite Conversions, such as Korah, Especially Edomites other than Azariah, Zerah, and Jeush

By this we can say that among both Edom and Israel there are both the righteous and the wicked [for example, Er was Judah’s wicked son], and that when united as the nation of Abraham, we can expect some very positive commixing, such that perhaps Jews need not fear every intermarriage that happens via ancestry, as it is such that some with ancestry of Edom will be as Jews according to Torah. As Edom ruled in the Middle Ages, and many ancestries of Kings, often called Edom by the Jews, if one has an ancestry to such a King, even an Edomite King, we may expect that this is a union that Gd approves of. In the Hebrew Torah names are chemical formulas for people. With the three verse of this blog, we see that Korah was indeed accepted as a priestly Edomite though perhaps with distaste among the Jews. However, as it is stated, “And your people are all righteous; they shall inherit the land forever. They are the shoot of my planting, the work of My hands, in which I take pride. (Sanhedrin 11:1).” Edomites will have the option of converting. Secondly, we know that by name Israel's offspring is righteous, and that Edomites sometimes carry these names such that Edomites may also be righteous, and intermarriage need not be feared. Firstly, Korah is listed as an Edomite. First Chronicles Chapter 1 (35) The sons of Esau: Eliphaz, Reuel, and Jeush, and Jalam and Korah. Secondly, Korah is listed as a Judahite. First Chronicles Chapter 2 (43) And the sons of Hebron: Korah, and Tappuah, and Rekem, and Shema. Thirdly, Korah is listed as a Cohenim, meaning a priest where priests are descendents of Kohath). First Chronicles Chapter 6 (7) The sons of Kohath: Amminadab his son, Korah his son, Assir his son; Another Edomite that possibly converts is Nahath who is firstly listed as an Edomite, but then in Chronicles 6 as a priest. First Chronicles Chapter 1 (37) The sons of Reuel: Nahath, Zerah, Shammah, and Mizzah. First Chronicles Chapter 6 (11) As for Elkanah: the sons of Elkanah: Zophai his son, and Nahath his son; Still another Edomite that possibly converts to Judaism is Kenaz. As an Edomite: First Chronicles Chapter 1 (36) The sons of Eliphaz: Teman, and Omar, Zephi, and Gatam, Kenaz, and Timna, and Amalek. As a Judahite: First Chronicles Chapter 4 (15) And the sons of Caleb the son of Jephunneh: Iru, Elah, and Naam; and the sons of Elah: Kenaz. And, still another Edomite the possibly converts to Judaism, Shobal. As an Edomite: First Chronicles Chapter 1 (38) And the sons of Seir: Lotan, and Shobal, and Zibeon, and Anah, and Dishon, and Ezer, and Dishan. As a Judahite: First Chronicles Chapter 2 (50) These were the sons of Caleb. The sons of Hur the first-born of Ephrath: Shobal the father of Kiriath-jearim; Therefore, because there are so many, I deem the list sufficient to prove the point, without searching out the other names given in the Chronicles.