I own the pin--and love it. It is an eagle. Hillary let Bill's secretary wear hers during the Monica deposition and Ann Lewis wears one.
The best way to "dilute" the significance of the pin as a liberal sign of patriotism is for EVERY CONSERVATIVE WOMAN TO WEAR ONE! How can they claim it as their own, a little symbol of their "sisterhood", if every time you see a Republican, she has one on?
They need a pin that better symbolizes their party--perhaps a donkey's rear with the tail cut short and a band-aid on its rump!
Your idea has merit but the pin is already heavily associated with Hillary; so I think it is too late to change that impression.
However...to express a patriotic spirit....wearing Old Glory .....sends the clearer message!
It is the American Flag that represents our nation. The eagle is the national bird while the stars & stripes represent our 50 states & the original 13 colonies that founded the United States of America!