In this post, I will argue for the incompatibility and near impossibility of these two streams of thought merging. Let me start by saying that this is a complex topic but this isn't an excuse for sloppy thinking or unfounded assertions.
We should start with definitions. Anarchy simply means no rulers and in the context of anarcho-capitalism, it generally refers to liquidating the nation-state so the 'free-market' mechanisms can work as theorized. Capitalism under this theory would allow people to accumulate capital and own the means of production and private-property without undue interference from the state and its associated cartels. Gnosticism is the spiritual notion that this earth is some kind of prison matrix. Please note that there is a wide spectrum of gnostic thought but generally it divides into two schisms: dual and non-dual spiritual cosmologies. Non-dual would be Kabbalah as espoused in theories like The Arcanum with its associated universal ecumenicalism. Dual cosmologies assert that this existence is irredeemable and that this existence is the property of the demiurge. As a Gnostic, I lean towards the latter, but I shall not argue that in this post other than to say that if the dualist position on Gnosticism is true then any economic/political organizing system within the matrix will always be an exercise in futility. A simple analogy would be organizing various social structures within a maximum-security prison--sure, there are ways to offer some relief but they wouldn't alter the condition of the over-arching super-structure.
I'm also on record in asserting that civilization with its concomitant societies shouldn't be organized and premised on various Casper assertions (religious dogmatism) as it's a fact that there is no way to prove any religious cosmology-- it then behooves us to consider the best and only way to model a society and that is implementing societal structures which enact the best use of logic, reason and sound critical thinking. The best interpretations of Secular Humanism is the way forward from this perspective. It should be noted that the 'free-market' of the ANCAPS is a Casper assertion in that they suggest an operational invisible hand guiding market forces (a type of teleological belief). I've also argued that capitalism in its present form is a lowly evolved limbic system behavior premised on the predatory use of coercion and unnecessary exploitation. This is a pragmatic rational assessment of our current situation as I've never abandoned my secular upbringing. The fact is that all and any spiritual assertions could be wrong so empiricism is the only sound method as far as answering the question of how we should live--at least on the macro scale.
We now need to explore ideas on what a society modeled on icons as Jesus and Buddha would look like. First, let's look at the Dualist Gnostic position which generally states that conventional notions about Jesus and Buddha are fictions of the archons; figures created by them to manipulate humans via the control mechanisms of religion. Under this view they are no help at all on this issue other than to say that the Gnostic Kristos wasn't human; wasn't Jewish; didn't die for your sins, and didn't come to redeem the demiurge matrix--the Kristos Aeon only came to enlighten you about your condition and offer knowledge about how to free yourself from the trap created by the demiurge and its archons. So, if this were true, there is no political-economic system that humans could carry out which would make much difference to the situation. The best we could do under this model is to create myriad and sundry communities that look to reduce the corrosive influence of the archons--think The Essenes or The Amish, etc...
Let's explore briefly the idea that Jesus and Buddha are exemplars of human behavior and the possibility that a model for society could be teased out from their lives and teachings. In this regard, I'm finding it incredibly difficult to reconcile any capitalist model with their lives and teachings. Would Jesus and Buddha exploit and coerce each other for-profit? Would Jesus charge Buddha Rent? Would Buddha ask Jesus to do a free internship or to WWOOF on his private farm? Let's take a look at the conventional interpretation of The Bible: The Garden of Eden--NO CAPITALISM! The 1000-year reign--NO CAPITALISM! Yet we are to believe that capitalism is the favored mechanism of Jesus in between these two periods? Yikes!
I'm going to finish up here by listing mechanisms which are 'deplorable' by any spiritual standard to perhaps gain some common ground within all the different factions. I'll do this in point form:
-creating money loaned at interest from 1% up to over 50% depending on the lending institution by typing it into existence is incredibly evil! First and foremost any rational society has to end this practice. At least, any sane society would make predatory lending illegal, which means practically that exploiting the poor for profit would be anathema. A new way to create money that isn't predatory and doesn't game the system for the EL-ite. I'm aware that the ANCAPS are shilling crypto but until crypto can meet the condition above it's just another gambit of the archons. I need to discuss whether distributing money evenly at creation is 'communism'. I don't see that the primary mechanism for creating a healthy balanced society (even money distribution at creation) via a basic income or living dividend can be classified as 'communism'. This is just a Strawman of the Communist/Capitalist psy-op, especially from a Gnostic perspective. Consider this bitch's: Jer RUSSIA/USA lem! Yes, our current predicaments run deep and are rooted in antiquity...
You know what? I'm going to end it there as all issues in a civilization structured on MONEY can only be solved by addressing the issue of money honestly. I'll only add that civilization's only other option is an adjustment to private property juxtaposed to some new kind of HOMESTEADING LAWS--implemented wherein the land is made available again for an intelligently educated return to living sustainably. Of course, the two suggestions above are opposed to the 'vision' of the Rockefeller/Rothschild up and coming Ecomodernist vision for our imprisonment within smart grid city systems. Fasten your seat-belts folks as it's going to be one hell of a ride!
I'll add this link from The Center For A Stateless Society which is a decent deconstruction of the ideologies of the political right.