I love this post, it shows that you love games so much but you love your family more. I wish I'd be like that if I ever became a father.
There is a solution which doesn't involve leaving the baby at the fire station. The magical button known as pause.
I'm not competitive/online gamer, and I already use the pause button a lot in my gaming (because I always have things to do outside games.) That's way I'm grateful for this "gift" we already have in gaming.
Believe it or not, I do enjoy being a father, and being present of all the little changes and learning leaps he is doing is extremely satisfying.
That's refreshing.