That plan looks fairly feasible, until you get to look for a job in the US. Getting a student visa and getting a work visa are 2 very different things, and since there's no shortage of FAA CFIs in the USA, I think it's unlikely you'd make any progress on that one. Plus you can't apply for it whilst you're in the country, so you'd have to leave, then come back etc... major pain.
If you get all your FAA tickets it means you're exempt from any training prior to CPL test over here, and IR training is reduced to 15hrs. Depends obviously on how much you need, but certainly a lot less than 25 and 50 respectively! No discount on the FI 30hr course for having an FAA CFI though.