Take a look at the kemper amp profiler. This thing takes into account that even 2 of the exact same amps with the same settings can still sound different (which is 100% true in the real world), the AxeFx does not take that into account, and I feel the AxeFx sounds a little sterile and "fake" to me.
Now I have a Marshall JMP1 rack (for clean and crunch) and a bogner fish "original, not re-issue" (lead tones similar to Chris Polands tone in his band ohm), for preamps and mutipule effects racks, with 2 ADA MP100 tube power amps, all with CAE bradshaw switching.
I might be a little spolied with decent guitar sounds, but I have not had success getting a great tone from the AxeFx that rivals my amp.
I have played with a friends kemper and it did model my amps within 95% first shot, I then went in and had it fine tune automatically, and it is as close as you can get to the real thing, all within 15 min (did both preamps tones in the same sitting).
I am ordering my kemper next month, for recording in my studio. I can mic my cabs, and I have great mics, but It is just so easy to plug the kemper in and get to laying down tracks with my sound, without a lot of fiddling. The kemper is right inline price wise with the AxeFx.