Re: Federal American Eagle FMJ 30-06 150gr..
Better shoot some and see how the accuracy is before you even worry too much about hunting with these. Like WTFC, I'd hesitate to suggest an FMJ for most hunting needs, especially in factory ammunition. The FMJs can be useful for some pelt hnting, but they'll need to be loaded down quite a bit for that application. At top end velocities, FMJ or not, they can be pretty destructive, and will flat out unhinge a small varmint like a fox.
My concern here centers more on the accuracy issue; FMJs are generally the least accurate bullets you'll find. The Federal American Eagle, especially being a "bargain load" is going to be a real fine example of this. Most of these use the same FMJ style bullets as that they use for military spec ammunition, which translates into about 2.5-3 MOA being acceptable for accuracy. Fine for a rack grade Garand or M14/M1A in a combat match, but most of us would like something a little more refined for an accurate bolt gun. I know whose bullets Federal used to use (and I believe, still do) and 3 MOA is about the best you can reliably hope for with these. Trust me, I tested tens of thousands of these.