Sure they would, that is why Clemaon played Auburn last year, is playing Texas A&M this year and next, and just scheduled a neutral site game with Georgia. Clemson also plays Notre Dame after Texas A&M. Poo poo on the ACC all you want, but you can't fault Clemson scheduling as tough as possible.
Also, as for the original post about week one ACC vs SEC, the majority of those are SEC WEST teams and in some cases a top West team playing a mid-lower level ACC team, Bama vs. Louisville is a perfect example this year. Remember that the SEC EAST was the lowest ranked division of all Power 5 conferences last year, even with Georgia making the title game. SEC in recent years needs to be clarified as West or East because they are vastly different levels of competition. I think that will change in the future, but for the past several years the East has been historically down.