Stay because of the kids or not

If the relationship is beyond repair, I would not. Of course you should work towards fixing your relationship instead of simply throwing your hands up in the air and say I quit, divorce! But even after trying your best to work on the relationship (e.g. talking to each other, talking to family and mutual friends, going to a marriage counsellor, etc), and it still doesn't work out, I would suggest you leave. Children can feel the bad vibes between their parents - no matter how much you "fake it". Why make it worse for them? Both wife and husband can still take care of the children separately (taking turns) and they can still grow up just fine! It is better to end the relationship on a mutual consensus rather than on a nasty note where the children will suffer even more!