Man I really need to catch up!
As for the whole inquisitors thing, all the inquisitor viewpoints mention them using allomancy, and I'm pretty sure they were all seekers to start with, so I think it's safe to assume they use a combination of powers.
I think that they have allomancy but they didn't get it in the normal way, you notice how brandon says inquisitors are created VIA hemalurgy. This leads me to believe that hemalurgy is merely the process in making an inquisitor, and the ENDOWED powers they use are allomantic. They only use hemalurgy to create new inquisitors.
So far, the two magic systems we know about have something to do with strengthening certain attributes, what if hemalurgy does this as well. Something maxes out strength or speed or health, while others might max out allomancy. They start out as misting seekers, and end up with the power of a misborn. I'm not completely sure of this last paragraph, but I'm believeing more and more that hemalurgy is a process, not necessarily a power, Marsh says that hemalurgy is messy work after all. So ya, there you go.