Here's a little math. It's a little rough, but it's VERY informative.
I had to use three different graphs as the A10-6800K and R7-260X weren't on the same graph. Adjust if you find a better APU than this one, though again more money affects the value.
I will ignore the CPU bottleneck for a minute and just do a rough comparison of the R7-260X to the A10-6800K GPU.
The HD6670 gets roughly HALF the performance of an HD7770:
http://hothardware.com/printarticle.aspx?articleid=1799
The HD6670 is about 1.5X faster than the A10-6800K's GPU (benchmark in my comment above).
The Asus R9-260X is roughly 1.5X faster than the HD7770:
http://www.guru3d.com/articles_pages/radeon_r7_260x_r9_270x_280x_review_benchmarks,15.html
The difference comes to 4.5x (1.5x1.5x2) but we'd need a good INTEL CPU like the i5-4570 to see this.
Adjusting for the weaker, but much cheaper CPU I recommend, we may find it drops closer to a 3x performance advantage (on average), but WOW, even by going with Dual Graphics (and it's other issues) you'd be lucky to get much above HALF this performance!
That's basically the difference between 45FPS and 15FPS at the same quality settings.
I believe it comes to $545 roughly if I use the APU build, and $610 for my build. That's a 12% difference in price.
300% difference for 12% more!!!
Conclusion:
If you have any questions, or think I made a big mistake somewhere feel free to comment, but I think these numbers are pretty compelling.
Sorry it's all pretty lengthy, but I think it's good to be informed.
I should add that I don't recommend building a STEAMBOX yet as there's a very limited number of games (Linux ones) unless you also dual-boot Windows to use the Windows catalogue. There's also not much information on what games STEAMOS will get in the next year, but i think most will be Indie games.
If you also add the controller ($60 ?) and Windows (recommended) the system then costs $770. Considering it's really a console replacement it's hard to recommend this over the $400 PS4 currently. Sure, there are inexpensive games on Steam but that's a big difference in price as well. Something to at least consider.
I'd recommend waiting a year. By then, things will have changed:
- slightly cheaper hardware (possibly a good $500 pre-built)
- more games (really, not too great right now)
- refresh of controller quality
- good reviews on the current and future status of the console