He hasn't told anyone

My boyfriend and I have been together for a little less than a year. We were best friends for two years prior to getting into a relationship. We live together and are expecting our first child together (we each have one from previous relationships).

My big problem is this: he hasn't told anyone on his side about the baby. I am 6 months along and looking like I'm due any day. His parents don't know. Siblings have no clue. His ex-wife doesn't (not as big a deal in my book but I do live with her son part time and will be giving him a baby brother soon). It bothers me every single day. To the point that I lose sleep over it and I borderline obsess about it. When I've approached him about it he says he's not ready yet as his parents are really religious and won't approve of a child out of wedlock, etc. His dad went to school to become a pastor but never actually followed through. He says it's going to tear his family to pieces. So I'm stuck here wondering how to get through this without it tearing our little family apart. I have reached my limit and something has got to give. Do I tell him to man up and own it? I've taken the nice and patient approach and it's gone nowhere. Do I need to be the one to step up and say it? It doesn't feel like it's my place to as it's not my family and they should hear it from him. This baby will arrive soon and as a parent, it would break my heart to hear, "Surprise! You have another grandchild I never told you about! Oops."

Just feeling overwhelmed and want to be entirely excited and not all sorts of mixed emotions.