...I have very processing power intensive program...

One of the "features" of virtualization is to be able to run multiple virtual machines on one host because each guest does not use all the processing power of the CPU. So maximizing utilization of an underutilized host. But you have just one OS that needs more power than just one host CPU. Virtualization tries to fit a bunch of "small" OS' onto one host. You're trying to fit just one really big OS onto multiple hosts because it won't fit on just one. So this, to me, is quite the opposite of what one would normally do with virtualization.

...with power limited only by number of connected machines.

Another feature of virtualization is to decouple the OS from the physical hardware. The virtual machine becomes "portable" so hardware failures are not as traumatic. But in your case, a failure of a "host" is not traumatic since the OS would load-shift to the other functioning machines. (e.g.: grid or cluster computing.) So the need for hardware decoupling is almost non-existent for your needs.

You really won't be using the features of virtualiztion, thus virtualization is not a solution for you.