I'd be kinda pissed. If there was any way they could get out of it, I'd explain to them that recruiters fucking lie through their teeth, and tell you exactly what they want to hear so you'll sign up and fight in their war. That's an enormous amount of duplicity not to mention lack of a respect from a military that claims to care about the soldiers.
If they honestly felt (and thought!) strongly on what they were choosing to do and why they were choosing to do it, and if it came from well thought out personal convictions, I'd be upset but I'd support them. Hell, I'd support them no matter what, cuz they're my kids. Expecting the military to take care of them is another thing entirely.