This idea had my brain going on Tantric Synthesis again for a pretty obvious reason. CHIVA as the union of Samael and Eisheth Zenunim, as discussed by Joshua Adam Sharp ("The Principle of Satan in Thelema"), comes from Mathers' conceptualisation of Samael as being identical with Satan and united with Eisheth Zenunim, together forming the Beast, CHIVA, or Chioa, thus completing what Mathers called "the infernal trinity", which he interpreted as a demonic parody or caricature of the "supernal trinity" of creation. Crowley equated both Eistheth Zenunim and Babalon with the sefirah Binah, albeit the former being identified with the Qliphah of Binah, while the Beast CHIVA he identified with the Qliphah of Tiphereth, and Mathers' whole Samael-Eisheth-CHIVA conjunction is very logical to contexualise this in terms of Crowley's core framework of the conjunction of the Beast 666 and Babalon, and ultimately the unity of Nuit and Hadit and the trinity in which they give us Ra-Hoor-Khuit. In turn, if you follow David Shoemaker at least, it is very easy to relate the unity of Nuit and Hadit, or even the conjunction of the Beast and Babalon, to that of Shiva and Shakti, not just in kundalini work as per the Liber HHH but also in the fact that Kenneth Grant equated Babalon herself with Kali, the dark and ego-annihilating power of the Shakti herself and, by Tantric Hindu tradition, the very active power of Shiva himself (I remember back in the day seeing people make similar equations between Babalon and Durga too). My thinking is that the resonance here is to some degree intentional, in terms of the Tantric Synthesis that Crowley's Thelema is. Good evidence of this is that Crowley says that the true identity of what we call Satan is ultimately Pan, and then in his Commentaries on the Holy Books and Other Papers he refers to a "universal vision of Pan", which is also The Vision of the Universal Peacock, which he in turn refers to as Atmadarshana, by which he described a vision of the fundamental unity of the entire universe with itself and its constituents, and then later you have Shivadarshana, the Opening of the Eye of Shiva, a vision of the ultimate reality in the destruction of the "ego", and the universe (in fact, just writing this has me thinking Michael Aquino was ripping that idea off and mangling it in the "Leviathan" chapter of his Diabolicon): thus, in this roundabout way, Crowley identified Shiva with Pan and then the Beast. The core formula of Thelema is obviously an echo of the core formula of Tantra, expressing the universe as bivalent unity composed of intercourse between what we typically perceive to be opposites.