All of my electronics is rusty, so my observations are as a curious spectator but not with any authority
By your own math, you're pushing 4kW through a system only rated for 1.8kW (2 900W transformers). Since your pulsing and it's not consistent duty cycle it's probably okay. But I would worry about it when you're talking about doubling your power draw.
From a theoretical position, doubling your voltage should double your power, so that put you at 8 kW instantaneous draw). What's your 220 volt input circuit rated for?
Have you thought about charging capacitors and then drawing from those capacitors for the instantaneous load?
Assuming you have the power capacity for your individual welding loads, I don't see why double the voltage wouldn't be better, as long as there's not delicate electronic circuitry that could be damaged from an inrush voltage you should be golden