Honestly, it might get some support. The meta is definitely in a terrible place, and no one can come to a general consensus why, but there are some glaring problem children right now (moon, waterpon, etc.) and koko is a way to definitively find out what those problems are very quickly. Clear off some problems, see how the meta is, and consider unbanning them if it would be healthy after a week or two.
There are two major, for lack of a better word, factions that are going to be very, very, very against this. And kill all hope of this occurring for the rest of the generation.
The tiering purists are never going to be truly on board. This group of people are the tiering nerds, especially the tiering council, who are predisposed to working within the boundaries of the already accepted Smogon Tiering framework, of which Kokoloko Tiering is essentially in disagreement with. Kokoloko Tiering is not just a tool that Smogon tiering uses, as it is still pretty much against the core philosophy of Smogon tiering which is to use a innocent before guilty view of individual game elements. Kokoloko Tiering is literally about guilty before innocent. On top of this, some have proposed that we are basically past the point where Quickbans would be acceptable, and Kokoloko is effectively a string of quickbans together.
One thing to understand is that while there have been Smogon firsts this generation, none of it is actually truly a first, and some of it is not actually for what some have said. For instance, Sleep Clause was not axed because of it being incompatible with cartridge, but because it was the simplest solution to not ban one or more Pokemon. It was not an attempt to rock the boat, even if those who wanted to rock the boat were totally on board (like me!). It was still in line with trying to ban the least Pokemon possible while being the cleanest, most minimal and simple banlist possible..
And on top of that, it will never get past the staunch anti-ban sentiment that has waived through a lot of people. The idea that any Pokemon is sacred and banning them may cause more problems than solutions has become a staple of recent suspect tests and discourse beyond the metagame discussion thread, and while this group is not a majority in any way, it is slowly growing and is the other group that would stop this from happening. The idea that broken checking broken will bring a good varied metagame is not going away soon, and it is not going to accept Kokoloko Tiering, which has the philosophy that we should ban anything that looks guilty to create a stable metagame, and then test things down to see if they rock the boat.
Kokoloko Tiering isn't a bad idea, but especially right now, you are not going to get it passed.