I'm a 30-06 guy myself, but... most people and animals couldn't tell the difference. I know I own both. I also have a 7mm mag that was a gift. At first, being a 30-06 guy I took it reluctantly. The first time I took it to the range I fell in love with it. That said, I'm a reloader and I wish it was a 300wm so I could use the same bullets as my 308 and 30-06.
308/30-06 are a couple of those cartridges that do everything well. They may not be perfect at everything, but they aren't bad at anything. If you just want another rifle I'd get another 308 so you don't need a second ammo supply. If you want bigger go 300 Winchester Mag.. The 300 will send the same bullet as your 308 4-500 fps faster.
Boomer