Benzodiazepines are positive allosteric modulators of the ionotropic GABA
A receptor protein complex.
Benzodiazepines do not bind to the same receptor site on the protein complex as the endogenous ligand GABA (whose binding site is located between α- and β-subunits), but bind to distinct benzodiazepine binding sites situated at the interface between the α- and γ-subunits of α- and γ-subunit containing GABA
A receptors[6][7]
http://en.wikipedia.org/wiki/GABAA_receptor
Gabapentin is a GABA analogue so it there is GABA activity as a result, it would reflect the above. Its activity is actually believed to be due to other mechanisms of action -
Gabapentin was initially synthesized to mimic the chemical structure of the neurotransmitter gamma-aminobutyric acid (GABA), but is not believed to act on the same brain receptors. ... Some of [gabapentin's] activity may involve interaction with voltage-gated calcium channels. Gabapentin binds to the α2δ subunit (1 and 2) and has been found to reduce calcium currents after chronic but not acute application via an effect on trafficking[43] of voltage-dependent calcium channels in the central nervous system.[44] Another possible mechanism of action, reported by Ben Barres and colleagues in Cell in 2009, is that gabapentin halts the formation of new synapses.[45]
http://en.wikipedia.org/wiki/Gabapentin#Pharmacology
That link you provided cites no studies to support his claims and in fact, likely confirms what I said above that they have certain
therapeutic effects in common but that does not mean their mechanism of action is the same. He throws out a claim of cross tolerance without backing that up whatsoever. Claiming an NSAID is equal in it's analgesic ability to X amount of an opioid does not mean that NSAIDs and opioids are cross tolerant.
All of the information you can find on the pharmacology of benzodiazepines and gabapentin demonstrate disparate mechanisms of action and this argues against claims that they would be cross tolerant. There is an undeniable intersection of their effects but that doesn't mean one drug can adequately substitute for another in an individual that is physically dependent.
There is some that is known about gabapentin's mechanism of action and there is some that is poorly understood. What IS known contradicts claims that there is true cross tolerance and you can't infer that there
is cross tolerance simply based on the fact that one drug is an analogue of a neurotransmitter than another drug agonizes very specific receptor subunits of.