What is REALLY annoying is the mergering process, cause the dice lines switch every time u look for one and you can't tell easily which line is which. Maybe you can have a "level" beside the counter and list by that.
Very good idea with a rating for each die and sort it by that! It's way easier to do than sort by sides, when the have special abilities. I could also be an option to either merge in the dice selector or highlight matching dice with a border maybe.