Here is a little practical advice, IMHO.
I fully agree that except for just a slight reduction in recoil, the 7mm-08 does not offer any real world improvement over the.308 Winchester. But, if you want to have things covered, with fewer rifles, think about this:
1. Sell the .308 Winchester and buy the 7mm-08. You will get a little less recoil, a little more down range energy at 250 yards, but best of all you can generally get factory ammo in 120 grain bullets, as well as the standard 140 grain loads.
2. Keep your 30-06. On the high side of power, using Federal Hi-Energy 180 grain factory ammo, you will have the ballistic twin of the 300 H&H Magnum, coming out of a 22 inch barrel. Hard to believe, but true. I personallly chronoed it, and the two loads were within 30 feet per second of each other.
So, with the 7mm-08, and your 30-06, you can get excellent factory ammo that will cover you from 120 grain varmint loads, all of the way up to Moose and beyond. (Many a big brown bear has been killed by the 300 H & H, and until the invention of the .300 Winchester Mag., it was considered to be THE brown bear gun.)
I love the .308 Winchester as my all around rifle. With the Federal Hi Energy 180 grain loads, and Barnes or similar bullet, it has all of the power of a regular 30-06, with much less recoil.
But, if you are going to have two rifles, go 7mm-08 and 30-06. However, you definitely do not need all three. If you are going to have three rifles, then drop the .308, and add a 7mm-08 and perhaps a .223 Remington (or maybe a .243 Winchester or 22. Hornet). Again, this will greatly broaden your hunting abilities.
Again, just my opinion.
Paul Amos