I believe the LHP not to be Abrahamic but owing a bulk of content to Semitic origin. Abrahamic implies an inevitable covenant with Jehovah. We have broken that chain.
It would depend upon which cultural nomos you are critiquing from a LHP perspective. My critique is more with the Paleo-Indo-European beast, rather than the Semitic one. There is a bit of crossover, however, as both have their spiritual roots in the pastoral traditions, which butted heads with agricultural city-states.