I remember those ID badges. I think they disappeared around the mid 90's.
One thing sticks in my mind was that they did, at one time, double up as "No Blood" cards as well. I think the "No Blood" bit was printed on the reverse. It was like a double whammy, you just couldn't NOT have the one without the other!
"You want to be ID'd as a JW? Then you can't have any blood products - Here's your badge!"