I don't think either the California National Party or the Texas secession movement want to secede because they are comprised of neoreactionaries. That article doesn't provide a shred of evidence that neoreactionaries are involved in any actual secession movements.

As a side note, that linked article and the assumptions you make off of it (the article does not mention "anarcho-capitalism" or "private government") both seem wildly unbased, more than bordering on conspiracy. The evidence against Thiel is more or less tantamount to him funding a startup founded by Yarvin, but surely there could have been a plethora of non-political motivations behind that.