Agreed completely. There is absolutely no reason to be rude to players. All it really takes to quell a situation, most of the time, is a "(X user here), please do not (insert offense here) on our servers. Thank you." if an admin isn't present, or hasn't noticed it. You'd be surprised how well a friendly warning works to calm someone down, and if it doesn't work, you can always call in the cavalry with Vent or admin chat.
By wearing the tag, you are representing the organization and what it stands for. If you read applications, many new members say that they're joining because of the friendly and mature atmosphere they find in an eGO server, and the respect they received from eGO members of -all- ranks. I know that's why I joined. If a member of the group is being rude and disrespectful, it tarnishes not only your reputation, but the reputation of the entire group.
As Es, we are trusted to not only follow the rules, but to represent the group with pride. We are essentially the future of this group, we are the ones that will be climbing the ladder next, and we may be the first encounter some of these people have with eGO. Let's try to act like it.
Just my two cents.