Andy, your tones rock, plain and simple. What's bright to a Diezel guy is the norm to a JMP/JCM guy. Then there's the Diezel/Boogie comparison, and the Diezel/VHT/Bogner, blah, blah, blah.
The Diezels have a voicing all their own - and it SLAYS. I'd describe it was a modern-ish tone in the low mids, but tight enough to crush balls at 50m. They also have a treble spark very reminiscent of the modded Marshalls, without being brittle. There's enough sag to satisfy the tube purist and and tight enough to play SLIPKNOT/Pantera covers without worrying (for all of the SS-types) about cutting through the mix.
When coupled with your Andersons, it's like a stripper in a G-sting - not only do they go together - there's nothing more natural! Fundamentally speaking, as you know, the TAG's are on the "bright" side. Tom's wood selection (only the best) and his Hi-Fi-style pickups really allow his guitars to resonate freely, which allows the given wood character to really cut. When coupled with an amp like the VH4, you really have to be careful with the presence and EQ controls. But when married up to the Herbert, with its darker voicing, the TAG's sound wonderful!
Andy, your rhythm tones are KILLER.
Dude that's YOUR sound. Change nothing.
On the subject of your playing style vs the band style, I've got your DFU studio material, and you should go by the saying, "DON'T FUCK with stuff that ain't broke".