Anxiety about being a dad is destroying me

Baby is due in 3 months and I'm spiraling. I keep thinking about everything that could go wrong. What if I drop him? What if I miss signs that something is serious? What if I'm a terrible father? I'm not sleeping even though I'm exhausted, I can't focus at work, and I'm snapping at my wife over nothing. I've never dealt with anxiety like this before and I'm scared. Has anyone else been through this?