I say if you both want out, then get out! I know the "political correct" thing to say is marriages take work...blah blah blah.
You can go meet with someone who specializes in teaching couples how to fit square pegs into round holes, change water into wine, instruct you in the fine art of compromise, negotiating love and affection....(All that B.S.)
Marriage is about finding someone who wants what you want! In order to accomplish this you have to know who YOU are, what you want and need in a mate before you select a partner.
For whatever reason sometimes whe choose the wrong mates for ourselves. If you wanted an apple but bought an onion instead..Whose fault is that?
It doesn't mean you have live with that mistake for the rest of your life. Learn from your mistake and make better choices in the future.
If a couple agrees on the major things in life then what is called "work" actually becomes "A labor of love".
Two things I learned a long time ago.
1. You don't negotiate for love and affection
(These things are given FREELY)
2. You can't manufacture chemistry.
(It's either or it's not)
Let the kids know you still love them very much.
They will be spending time with you individually.
Staying in a loveless & sexless marriage is not a way to live your life. Kids deserve to be around parents who are happy. If being together isn't making you happy then do the kids a favor and do whatever it takes to put you in a better mindset!
Best of Luck!