To achieve divinity is to achieve enlightenment, or Gnosis. That is how I view it. To recognize that the material world, as it is applicable to you, is largely your own creation, and that you can change it for good or for ill--to realize that ultimately all ethical judgments are your responsibility. By affirming your control (or input) into the material and spiritual realms, you are affirming your own divinity; I would argue that the true solipsist has most effectively become god, in any relevant sense of the word.
I've viewed both Left Hand and Right Hand practices as methods of transcendence: whereas the latter wants to transcend the self through an ideal (god, a dogma/creed, a practice), the former want to transcend others through an ideal (god--apotheosis--or a practice, or a creed). The means for either can be ascetic or not, as it is the goal that is important. Essentially, the Left Hand Path is the rejection of spiritual subjugation. Thus, I would argue that most forms of Gnosticism--which aim to transcend the ignorance and corruption of the material world, the archons, etc, and embrace the divine light within oneself--are Left Hand practices, while modern orthodox Christianity is generally a right hand practice because it focuses on overcoming pride, and the self, by prostrating before God and your fellow humans.