[count-your-change]

Then, accordingly each “person” of the Trinity would share the same will and consciousness in the triune “community, being”?

[Cronos]

Hmmm... interesting question. I don't know the answer to that. If I could hazard a guess, I would say that about consciousness -- I do not believe that God shares the same "characteristics" as us, His creatures, so whatever "will" or "consciousness" He has is quite different from ours in the same way (albeit with MUCH more difference) as a bacteria has will and/or consciousness compared to us. Keeping that in mind, I would hazard a guess that the anthropomorphic "will" of the Godhead is one, yes. I don't believe we can extrapolate our concept of "consciousness" to God as He has no beginning and no end, hence we cannot have any analogy.

God is one and yet three -- that we know clearly from Matthew 28:20 "go and teach all nations, baptizing them in the name of the Father, and of the Son, and of the Holy Ghost" --> the word used for "name" was/is singular. It was not "baptizing them in the names and yet there were three "names" given -- incomprehensible to us humans who live in a constricted reality compared to God.