If I remember correctly, Nvidia didn't want to support hybrid video card systems because of liability issues. The drivers would have had to be redesigned to support AMD hardware, and Nvidia would also have had to supply tech support as well..
nVidia used to sell mobo chipsets, when they first started with SLI they made it such that their own made northbridge was required, an entirely artificial limitation as any set of two 16x lanes would work as has been demonstrated by many.
when their chipset market dried up they thought and though how they can preserve this, and they came up with the idea of creating encrypted licesnse keys they will sell mobo vendors, the mobo vendors will put those in the bios and will pay them 5$ per board. nVidia drivers then had a DRM component added to them that will check for the keys and disable SLI if they are not found. Cracked drivers obviously ensued, which started escalating of ever more complicated DRM to close the latest crack techniques; such as hiding things like gravity reversal code in "game specific optimizations".
Anyways, today mobos that can support AMD xfire and nvidia SLI only support the free xfire unless they pay the 5$ to nVidia, so sometimes you have the exact same board (with intel chipset) come with AMD xfire support, or nvidia SLI + AMD xfire support for a few bucks more.
This is an example of nvidia's insanity, they could have sold so much more cards for people to run SLI if they weren't stupidly greedy about it like this. This is no different then record companies running out of money due to constantly suing people (then thinking they will pay themselves and lawyers but not the artists; sending them instead a letting saying they have no money to pay them since they used it all for lawsuits), or companies putting DRM on their products that costs them millions, decreases their sales, and is broken in under a week.
Anyways, you said about hybrid systems not their SLI, but the principle is the same. This is in fact the SECOND piece of CRACKABLE DRM that is in nvidia drivers. nVidia drivers have only those 2 pieces of DRM code.
nVidia actually accidently released a DRM free build of one beta driver version not too long ago, they quickly pulled it, then put it back due to bad publicity, spun this whole "reliability and compatibility" nonsense, and waited for it to die out and then continued business as usual with future models. This version allowed you to perfectly use AMD main with nVidia secondary.
Not only is nvidia shooting theselves in the foot loosing valuable business they could have made while cementing their position as a physics middleware monopoly (just as MS has their DX monopoly), they are also setting themselves up for an eventual lawsuit as it is blatantly illegal behavior (anti competative). Only reason we didn't see it is because AMD recorgnized nvidia's behavior to be self destructive and actually aiding AMD's goals...