OK, so this is my opinion only, so take it as just one of many view points.
6.5 Grendel is a bit different than 5.56 in terms of shooting dynamics. As you tune your rifle for the best configuration for your new upper, you may find that your existing 5.56 lower may need a different buffer, spring, and in worse case a different FCG. Not that what you have won't work, it probably will, just not optimized. So I think you'll find yourself making some compromises between the two calibers that will bug you. I know it would probably bug me. You could easily swap buffers and springs around when you change uppers, but that will get old... ask me how I know.
My vote would be to build out a matching Anderson lower, and get that lower receiver outfitted to optimize your shooting experience with your new 6.5 Grendel upper. Whatever you decide, be safe and have fun.