Overall the ... community conformed to Peter Blickle's model of a community that is premised on communalistic values and has the basic...

I believe "verfaßt" is sufficiently vague to be interpreted widely, though I am not sure if "values" may be going to far in interpretation. Perhaps "communalistic social organization" would be an alternative.

Essentially if the community is structured along communalistic lines, their values are in turn likely to be similar. Nevertheless, you will know whether this is possible from your context.

I would not use "communalistically", which I think is very uncommon and sounds clumsy. The original construction with the adverb before the past participle acting as an adjective is more common in German than it is in English, as I'm sure you know. If nothing else, I would just write "a communalist society", since, as I have said, "verfaßt" seems to be more of embellishment.

"Premised on", I think, is nice and fairly academic. Good to impress your customer. "based on", "structured on the basis of" are all of course other possibilities.

Here is the source text I was reading. Perhaps it might give you other suggestions:

Communalism as a Value, the Value of Communalism

Gary Urton (1992) raises the question of whether or not the values and practices informing the cosmology of people in his research site of Pacariqtambo, and by extension, in other communities of the Andes, also represent organizing principles of social organization, and if so, to what degree. He proposes that communalism and differentiation are central values and organizing principles of social life, and provides a rich and provocative discussion of how these values get played out in phayna (community work party) activity. As he puts it, "it is the dialectical relationship between communalism and differentiation which . . . motivates work by everyone in the community on certain tasks, but which at the same time insists that such tasks should be performed by people working in their different ayllu groupings" (Urton 1992:231). Accordingly, he concludes that "These two values are in constant dialectical relationship with each other in the life of the village."

The question raised by Urton is of broad interest, given that all too often in the Andean literature communalism as intent (norm, value, worldview) is confused or conflated with communalism as institution (ayllu, comunidad campesina) or communalism as action (people working together in ayni, etc.). The first presupposes that cooperation is an ethic, a preferred way of doing things. The second includes rule-making and rule-enforcing mechanisms that go beyond moral incentives to ensure cooperation. The third is measurable cooperative behavior, however it arises and is maintained.

In a broad sense, Urton is most certainly right that in the southern Andes of Peru "relations among individuals and groups ***are premised on both communalistic and individualistic values*** and motivations, and that the practices through which socioeconomic and political relations are conducted daily and reproduced over time are products of the dialectic . . . between communalism and differentiation" (Urton 1992:233). The challenge is to make sense of what this might mean in terms of individual thought processes, and how they become aggregated among the whole.

http://66.249.93.104/search?q=cache:LSpVnH5ntX0J:www.euskaln...