The more I think about it, the more pissed-off I am about him saying it is @Beesandbutterflies327's responsibility to do all the child care, day and night, while he swans in to 'help' with the easy bits and criticise her for how she's doing the rest.
This may come over as smug, but it is not intended to. It is intended to give the OP some idea what a good partner and father really does.
My dh was totally involved with our children from the word go. He changed nappies, bathed them, fed them (once I stopped breastfeeding), played with them, rocked them to sleep - all the things that I did, he could, and did do too. He was at work 8-6, Monday to Friday, but once he came home, he was completely involved.
As they got older, he'd take them out on his own - to the park, the supermarket, into London to the museum. He got up at nights to deal with wet beds, vomiting children, bad dreams, just as much as I did.
Add to that, he cared for me too. I had post natal depression after each of the three boys was born (secondary to then-undiagnosed clinical depression), and sometimes I just couldn't cope with things - I still have depression, and still struggle sometimes, and he does lots around the house, as well as holding down a very demanding job.
I look back at just how much he did with the boys - and I didn't have to tell him he should be involved - he wanted to be a good dad - and I am so grateful. More than that, I believe that he has a good relationship with the boys now (they are 19, 21 and 23), because he put in the hard work when they were little.
A good dad wants to do all the bits, not just the easy ones - and he supports and cares for his partner, the mother of his child.
This man abandoned one woman with a small child and has moved on to the OP pretty quickly. He isn't supporting his child's mother, even though they are no longer together - in fact he doesn't have a good word to say for her. He has no intention of being a hands-on dad - he just wants the fun bits, and even the fun bits aren't allowed to interfere with HIS fun (the festival).
I feel sorry for the OP and her baby. I agree with other posters that, in a year or so, he will have abandoned the OP and will be moving on to another gullible woman - and the OP will be painted as his 'psycho ex'. 