Totally agree with you with a consecutive cut. Would be an interesting exercise and know plenty who are doing it. But it's never gonna be seemless narrative. In fact it would probably be a bit of a wonky watch.

As for TIH - I don't know when Feige made those comments but I suspect sometime ago. Would love to see the source because I have never heard him say anything on the dates. I think they may have retroactively changed the year.
All I do know is that during IM2 the date is displayed in the film including the year - 2010. It also lines up perfectly with Tony Stark's Birthday and the Historic GP of Monaco if you use the year 2010. We then see the Culver University incident (which both Favereau and Feige have stated happen during the time of IM2) taking place live during Tony Stark's debrief with Fury which strongly suggest that it takes place in 2010.
If you use the 2008 date (which is admittedly another year the Historic GP of Monaco takes place) it takes place after Tony's Birthdate.