First of all, you are not putting your children trough it, your wife is. Although it is true that your W is not 100% at fault fot the demise of your marriage, you are not either.
Secondly, you say that you cannot see how living apart from your W can make things better, but in 10 months of living with her did it get ANY better? I think not. I think time away from W will do you a world of good. Sure, there will be an adjusting period required, but from then on things will be improving. Of course the kids will need an adjustment period as well, and they will need all the love you can spare.
Make sure you improve for yourself and not in a weak attempt to "win" your W back. The benefits of a better you are enormous. Be sure to thank the higher power every day, because you are blessed. You have 4 beautiful children, you have a roof over your head and food on your table, that makes you well ahead of at least 4 billion people.
Stay strong. IMO the separation will do you a wold of good...
