I think I understand what you are trying to do; and it sounds like you may be confused about what Windows8 does to the hard drive. It's always best to do a reinstall of the newest Windows OS version, and THEN reinstall a 2nd partition space with the older version of Windows; in this case Win7. It's a really bad idea to run both Win7 and Win8 on the same physical hard drive as it then becomes a single point of failure for BOTH OSes!
You may wish to do this as an experiment, but then you mention you want to eventually migrate from Win7 to Win8 anyway-kind of a big waste of time IMO. If you do want to do this experiment, make sure to back up your data, as it's gonna be a high-risk maneuver with low success rates. It's much better to attempt this with a 2nd physical hard drive for the 2nd OS for above said reasons.
The answer to your question has to do with 1 of 2 things; and that's usually that whenever Microsoft does an update on their Windows (major version udpate), then spend a great deal of money writing propietary code onto the boot tracks (track 0 and track1) of the hard drive with the newest Windows version. Each time they change Windows they modify the technique to defeat hackers who try to use illegal methods to bypass Windows licensing. Essentially, that's what you are trying to do by installing the new version--Win8--onto the same boot partition as the existing Windows version--Win7. Assuming that you've been able to use your LEGIT Windows8 installation media on another 64-bit machine and successfully clean-install Win8, this is most likely your problem. The program you mention, AOMEI, as Mike says is somewhat sketchy, and I've never had luck with it myself.
Basically, you are doing the dual-boot thing backwards, and as far as Windows is concerned (Win8) you are trying to defeat the M$ licensing protection; so it won't install the correct version. And this is assuming you've actually tested your Win8 64bit disc on a different computer and it works. Does that Microsoft disc state 64bit on the label somewhere?? Are you positive you don't have the Win8 32bit disc? They sometimes are not labeled, and they can both come in the same retail packaging.
Hope that helps.
Best of luck,
<<<BIGBEARJEDI>>>