Well, if we're going to be having new names for the days and months, can we at least do something interesting with it, rather than just scribbling out the names on a Gregorian calendar and writing in new ones?
For example, we could make seven a holy number, and have seven months, one for each god (the seventh month being the month of the Father). Each month lasts about thirty-five days, except the month of the Father, which lasts seventy. And why not have different length for the day. Twenty hours, or something.