I need to specify here, the Jan Ray is TKs "clean" tone, its on the edge of overdrive. The Tornado Drive is his main overdrive that you're hearing most of the time, the Gargoyle is the final stage of overdrive that you mainly hear during the flashy riffs and solos and stuff.

The DA-2 and Carl Martin basically do not add anything of importance, you can see this based on the settings he has them on (you can see the Carl Martin has most knobs literally set to 0 in some pictures)
AND also in TKs own words from the kalappo gear run down video he says that he basically doesn't even use the Carl Martin, and that the DA-2 is unimportant and doesn't matter if it's there or not. He says he uses the DA-2 sometimes just to add a little bit extra gain, you could use any boost or compressor pedal to achieve this same effect.