Actually, Jerry, I don't believe that "most who have served in the military think that signing the petition is a bad idea."
It is my sister who alerted me to this petition. She is a Veteran of the Iraq War and the widow of a fallen soldier who died in Iraq protecting our freedom. She was alerted to it by other military members.
Contra, we have the opinion of another Iraq war veteran, which is similar to those I've seen many, many tines in various discussions of this type. A few minutes with Google should turn up quite a few others.