To the OP:
IMHO, I would suggest not helping on the ice until your skill level is high enough to play with kids around 1.5X their age. Most parents wouldn't have a problem with a less skilled parent helping out, but there are a few (and they are always the loudest) who do have a problem with it. So it's just best to avoid it. Plus, like many said, if you can't keep yourself safe, then it's really hard to aid in the safety of a large group of little kids.
With that said, you certainly can do things off the ice to help. I know some parents who assistant coach on the bench, who can't play very well at all, but know the game and study the game. It's Mites, so it's not like it's high strategy or anything (usually), and if you have a good understanding of the game, even if you didn't play, you can certainly help at that level. You can also be team manager (under appreciated role, but very valuable), or you can even simply be the parent that helps your kids and other kids gear up in the locker room.
And while you're doing that, take lessons, skate with your kids, practice yourself, and in time...you'll be on the ice with them. It's a joy that you're giving something to your kids, that you yourself didn't have a chance to experience at their age. And it's even better that you want to be very involved with them while they're doing it.