The real problem is that all alerts are sent at the highest priority 'presidential alert' or 'disaster warning'. Missing persons / Amber alerts should obey volume settings and do-no-disturb, but we don't appear to have the technology to do that.
There was an incident in Ontario where an elderly grandparent was missing for 12 hours -- so they sent the alert to a 1200km radius... at 2am. Then again a few minutes later. Then again 30 minutes later. Then again at 3am, then again at 4am. The OPP woke up several million people, several times, for an entire night. The result? A police officer saw them on Lakeshore Blvd. in Toronto, less than 60km from their home. There was zero benefit to waking up every household with a cell phone across most of the province -- and I'm willing to bet there was a HUGE increase in traffic accidents the next day (because losing just ONE hour of sleep to daylight savings time has this effect).
You're right to be mad, but you're fixing it the wrong way.