Sorry, apushata, you are wrong.
According to arts and crafts porojects I have seen from preschools at the top Yeshivas in the US, it was Moshe Rabbeinu who wore a shtreimel.
The eirev rav wore Borsalinos.
And Haman indeed sported the hat, goatee and shoes (thank you, Queen) described above.
Any 5 year old whose parents managed to get him into one of these top Yeshivas will confirm gladly.