While you might have convinced yourself that your motives are purely altruistic and kind, what you are really saying is 1.) she's a bad mother, 2.) she is incapable of rearing them, 3.) their perfectly normal child behavior is a problem for you because you don't know a dang thing about kids, and 4.) you trust your judgment on the matter far more than you trust hers--which is slightly odd, given that she's known the kids a heck of a lot longer than you.
Trust me, there won't be a first date, because she's already seen how this one will play itself out.
And on the odd chance that a single mom happens to pop by here, and has been seduced by this asinine line, and is feeling flattered that a guy cares enough about her and her kids to help shoulder the load and "straighten them out," I am tempted to say that you get exactly what you deserve for being such a moron...but your kids do not. Do all of you a favor and get out while the getting's good.