Marriage was never pushed on me when I was growing up
What does that mean ? It wasn't pushed on me either, didn't stop me wanting to get married when I was ready.
Sorry ChocolateLingerie but he's outright told you, 'I'm not the marrying kind.' He only didn't say, 'I'm not marrying you' to save a row and the end of his cosy little arrangement. He's kinda got his cake and is eating it, i.e. he's got you and a kid. That's as far as he'll go.
I find the phrase, 'pushed on me' quite telling as well. He thinks you are trying to push marriage on him. Why is he so reluctant ? He asked you outright if he should propose to you right now. You said no. That was a tactical error on your part.
IMO don't marry this manchild, you will have a prat for a husband. Then you'll regret it.
Why did you give him two years to think about it ? What happens when the two years is up ? He's just glad that he's put the subject off for a couple of years. Got you off his back about it as far as he's concerned.
In his view, nothing will change and marriage is all your fault idea anyway. He's already partnered with you, that won't change after marriage. He's already a Dad. That won't change after marriage. So, unfortunately, there's nothing in it for him.
He's avoiding a costly divorce by not marrying. Right now, he's got just what he wants and can walk out whenever he feels like it with very few comebacks. Marriage will just complicate things. I accept that married men (and women) do this too.
Just as a btw, personally, I don't understand couples who start a family then grizzle and gripe about getting married/not getting married. The relationship is public, the child/ren have been born. Isn't getting married kinda, after the fact now ?