Cliffracer RIP said:
Yet it is reasonable to assume that were an arch-bishops temporal power to grow too great for him to handle personally, he would sub-let the most important positions to bishops rather than secular counts, beacause that way he can mantain his religious power aswell as the bishops are his eccelarsial vassals as well as secular vassals. If he were to give it to the count, then his interests could potentially clash with the local non-temporal bishop, leaving him with his loyalty divided between both of his vassals (in both his roles). Creating lesser bishoprics is not only easier (beacause he moves in those circles already), but also avoids possible difficult to resolve conflicts of interests between bishop and count in the province. It simply makes politically more sense for a temporally reigning arch-bishop to confuse his structures of power and not to take advantage of his dual role in this way.
But generally it's as the title says, I want each kind of ruler to create vassals of it's own type (and with all the same laws), in order so there is three different visions of goverment, fuedal, republican and theocratic all of which have their own structures of power and are able to spread.
I don't think that you could call the regular bishops (that is to say, the plain old, non-land-owning, regular-diocese-administering) the 'vassals' of the archbishop over him. It's not as if the archbishop owns the whole archdiocese and parcels it out to bishops. The relationship among bishops in the middle ages was, to the best of my knowledge, not the same as the relationship among temporal rulers, like a king who, however theoretically, 'owned' his realm and handed it out among others who held it in fief to him. The difference between bishops, archbishops, and the Pope seems to be (theoretically, again) rooted in a concept of a hierarchy of respect, but I will admit that it's too confusing to fully understand all of the nuance. In any case, 'vassalage' per se is a problem for temporal rulers, not ecclesiasts; it only becomes their problem in as much as they are temporal rulers, which is not a necessary component of being an ecclesiast. Most medieval bishops (by far the majority, I should assume, though I can't prove it right now) were not temporal rulers. Thus, I don't imagine that the conflict of interests as you call it ever existed legally/technically-- it's not the archbishop as pastor of the church who has vassals to worry about, it's the lord of the land who also happens to be an archbishop.
In any case, I'll be much more willing to concede the point if anyone can find a stable system of temporal land-holding bishops or archbishops who, in turn, held suzerainty over lesser land-holding bishops. PLEASE NOTE that I mean bishops who hold land as a temporal fiefdom, not the concept of eccelsiastical control over a diocese as presbyter/pastor, which, as I think we have established above, is not what CK models.