I need more convincing about what a red dot sight will teach you over iron sights. That wobble feedback should be present with either system and you're not goin to get rid of that shooting freestyle. Your focal point will also be different. My own take is to avoid the equipment race, work with one platform, and master the fundamentals. This doesn't you'll have to break down each element as the OP suggested. I'd say it's more important to practice grip, stance, and iron sight picture at the same time so that these become natural when you're shooting.
Podcaster Ryan Rocquin has a good post about irons. It's more towards rifles but it's a great overview.