This post makes me sick to my stomach. A dad who is involved with his child. I would assume that you want him involved with your child, but not his own. Maybe you should have considered whether he could deal with it before he had another child.
I think this is too harsh. Yes, DH and I never see each other, because we're schlepping the kids all over the place - we're parents, and this is part of our job description. However, I remember when I only had a couple of babies/toddlers, no older kids, and I thought 2 birthday parties in one weekend was a lot!

However, as the years went on, and the activities gradually increased, I can't imagine ever looking at the calendar and seeing a free weekend - I'm always amazed when we're all home at the same time for dinner!
I remember it being hard when I had my twins because I felt trapped home with them, and an almost 2 year old, plus my 6 year old, when ds, 4, started ice hockey. When he got a little older, and into more and more sports, a lot of the time, I was left home with 4 children (it was very difficult with the 3 little ones when we were out), while DH was out with ds, several times a week. But at least for me, it was more gradual. Now, we're all out, usually at different functions, of course.
I wouldn't have know how much time sports takes up for families when #1 was a baby - the 3 of us spent all of our time together. OP - you need to be "allowed" to go to the games with DH a ss.