If I woke up and saw the front door open, I'd freak the EFF out. I probably wouldn't close it, I'd probably turn around and go check on my kids before I shut it. Then get my phone and call the cops - even if my kids were still in bed, I'd call the cops. I'd lock myself in the bedroom with my kids. I wouldn't go near the door though. I'm a scaredy-cat though and locking myself in the bedroom with my kids until the cops arrived is probably what I'd do.
It would take a lot of talking to myself to MAKE myself go near the door. I had my window opened once and heard teenagers outside it and fireworks (that I told myself was gunfire - even though I knew it wasn't) and stood in my hallway, staring at my phone on the couch for 30 minutes before I told myself I needed to call somebody. It scared me. She might not have shut the door, I probably wouldn't have. BUT I wouldn't have wanted to go NEAR the door.