Separated for 6 years. Did I read that right?

Im not sure what the right or wrong answer is, but 6 years of are we going to be together or are we going to build separate lives, is a long time.

If you truly want to move back in, my suggestion is it is because you love her and want the marriage to work.

Im a parent, and i can imagine the pain of not seeing my kids every day. So i get where your coming from.
But, it will do more harm than good to move back and show your kids what an unhealthy relationship looks like.