Spoiler alert - there is no literary nor theological connection between Lev 16 (the day of atonement) and Rev 12 (the woman, the dragon and the wilderness). Indeed, they appear theto be antithetical as will now be shown.
| Feature | Leviticus 16, Day of Atonement | Revelation 12, Woman, Child, Dragon |
|---|---|---|
| Players | Two goats, "the Lord's goat" and "Azazel" = Scapegoat; High Priest | The Woman, The Dragon, The Child caught up to God, Michael |
| Preparatory | Sin offering of young bull for High Priest | Woman pregnant, Dragon sweeps one third of stars of heaven and threatens woman |
| Distinction | Two identical goats distinguished by lot | All players are already very different (ie, no lots) |
| Main event | Lord's goat sacrificed; Scapegoat lead out to the desert unharmed | Woman gives birth to a child who rules with iron scepter and caught up to God; Woman flees to desert for 1260 days as protection from the dragon |
| Result | Sanctuary cleansed | Dragon pursues the woman to persecute her in the desert for Time, times, and half a time; dragon spews river of water but earth swallows river of water, dragon enraged and prepares for war |
In short, I see no connections between these passages.