I think a lot of recons would say something like "we need to look at the literature and try to discern which parts are the Christian influences and which predate that. Then we can better determine how to construct our religious system." Or something like that.
I'm curious about how you would go about striking out on our own completely. Can you elaborate?
Well since pantheons in Ireland dont predate christianity maybe you could justifiably leave the idea behind and do without one. For example looking at deities as ancestral, regional and high deities instead. Each person has deities around them, ones specific to them/trad kin group and their region as well as the handfull of deities that transcend kin groups and regional boundries. Ancestral deities are ones associated with the families traditional genealogy, usually the progenitor of the family. The regional are the fairies and deities attached to the local rivers, mountains, plains and man made sacred sites. Then the high deities are common to everyone.
Theres no higherarchy and no pantheon but youd still be relating to your deities in a traditional way. Im sure there are loads of other ways too that dont require you to take up artificial ways of looking at gods.
Its an idea that doesnt require you to rely on the narrative in the myths anyway.