Baby daddy drama 🙄 what would you do?

dev ✨
My sons father is pretty worthless. He only sees our son about once a month. I try to initiate visits and try to get him to see our son but he always has an excuse. Today (father's day) I texted him in the morning and asked if he planned on seeing his son for Father's Day (he hasn't seen him in 4 weeks). He said he planned on getting him this afternoon. I said that was fine. At 4pm i hadn't heard anything so I asked what time he was getting him. He didn't reply. I called him at 7. He didn't answer. At this point I just wanted a reason as to why he'd bail on his son especially on Father's Day. He finally texted me back and said he had to work late. But shortly after that his girlfriend texted me and said he was off work today, he never mentioned to her that he planned on getting our son today & that he was actually taking a nap that afternoon. Not working. 
So this kind of crap has been going on my son's whole life. He's almost 3. My question is: what would you other moms do in this situation? I want to cut him off and say no more. What he's doing is more hurtful to our son than beneficial. I want to tell him I feel its best if he just stopped seeing our son all together even though it's only once a month I do believe it's causing more hurt to our son than good. I want to tell him if he wants to be in our sons life to get custody through the court. My son has a step dad who is amazing to him so I'm not worried about him not having a father figure. 

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