For anyone from outside the US concerned about this: car inspection standards are state-specific. Many states have far more stringent standards.
Get a plate from US state that has no inspections? You need no inspections at all!
You can't put foreign plates on an irish registered car without first bringing it out of the country and registering it abroad either. I don't think there's any tax due on re-importing a car that's already been registered however. (you even get the same plate numbers since they're consistently mapped 1-to-1 VIN-to-plate forever)
I 100% oppose these inspections, and fully supported the initiative to remove them from my state.