Terrified of this feeling in my gut

I'm going to be brief but would love encouragement or told otherwise.

My son was just born a little early. It was unbelievably beautiful and he's adorable.

My wife and I went through a very difficult fertility journey to get to this point.

Now, he's here and I'm in the hospital room waiting to be discharged in a couple days and feeling a few things:

1. What if, like my dad, this isn't for me and I stink at it?
2. Why haven't I felt those "this is the greatest moment of my life" feelings about my son?
3. What if this is all too much for me?

I'm not panicking but I feel disgusted given how challenging this has been for us.