Socks, I think you have good reasons to feel concerned this looks like escallating into something that is going to hurt a lot of people.
I urge everyone to think seriously of the consequences and management to respect the rights of the employee to choose not to work overtime, for what ever reason he feels.
I remember when I was working, there were some who always refused to work overtime. Are these people being singled out or is there only a few members being accused, obviously a good opportunity for union and management leaders to clean out the wood pile.