Easy solution: turning off amber alerts should result in a $1 fine per alert blocked (capped at $10/yr or something). Proceeds go to orphanages or some other child-saving cause. I'd happy to pay for the convenience, and I'm sure the money is worth more than the negligible chance of me saving a kid.
Or how 'bout this: I'll go buy five lottery tickets. If I win, I'll give half the money to starving kids and/or malaria nets in Africa. This act has a higher expectation of child-saving than my keeping alerts on, and thus win or lose it more than makes up for my choice to keep alerts off.
If you want to help children, there are a million ways you can do it for realz, yet you (yes you!) are choosing not to. Ergo, you're a monster, and your mother and I are very disappointed in you.