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I usually like your writing but don't try to go with military strategy anymore. If iran came back across OPEN ground with ANY number of troops our air superiority would set up another turkey shoot. Our ground troops wouldn't even be likely to be involved. Yes, they may succeed in cutting a supply line but it wouldn't be for long as hundreds of thousands of pounds of munitions and tank busters etc. (that were developed exactly for that sort of attack) would chew them up.
What's the greater danger? That it would more deeply ingrain any insurgency and encourage sunni's to further acts of terror and possible civil war.
Our military can take out any military in open terms. That is exactly what it was developed for over 50 years. What we cannot do is post war activities.