chore: convert AlertDialogFacade to ViewBinding

[david-allison]

• Part of Add View Binding #11116

Approach

• Cherry picked david-allison@9c2dde3
• De-conflicted and renamed to binding

How Has This Been Tested?

Brief test:

API 35 Phone Emulator

• Brief test of various functionality

Checklist

• You have a descriptive commit message with a short title (first line, max 50 chars).
• You have commented your code, particularly in hard-to-understand areas
• You have performed a self-review of your own code
• UI changes: include screenshots of all affected screens (in particular showing any new or changed strings)
• UI Changes: You have tested your change using the Google Accessibility Scanner