Some of it, yes, but it shouldn't, you're not supposed to disclose above average security clearances, period, which is what the green badge indicates.

If above average security clearance is disclosed immediately by someone seeing my badge then thats on the company, not the person with the badge.

The badge exists to identify you and your access privileges, it's purpose is to be on display, and clearly indicate these things.

They're not to be worn outside, and the employee policies state that.

You can argue all you want with your superiors about who it's on while you're being escorted from the building for gross misconduct.

You really shouldn't... Only on your resume and don't just give that out to whomever expresses interest; make sure they're legitimate.

if you can get the name, yes.