So far as I can tell, it'll work. Note that the three inverters also have parallel cables that go between them, which you haven't included in your diagram.
I'd suggest you have your welder and hot water on the solar as well, but I'm sure you understand your needs better than I.
The only thing that needs to be understood and perhaps mitigated is that the two autotranformers only handle 5kW each, and you're generating up to 15kW of power. While exceptionally unlikely, failure in one could lead to a cascade failure in the other if the imbalance is over 5kW, which will result in damaging nearly every 120v device at the same time. Adding a third one would provide some peace of mind. Temperature monitoring which forces the inverters to shutdown might also resolve that - the autotransfromers have temperature sensors in them, but they aren't connected to anything.
It's the same direction I'm leaning towards, though, and I really like the panel that handles those transformers and the inverters together before going to the next panel. Right now I have the autotransformer right on my main panel, but my inverter supplies split phase so it's only meant to help the imbalance in my home.