Coins go in my pocket, bills go in my wallet. I don't like a thick wallet and if it is, I'd prefer it being filled with bills that are actually useful such as $5 and above. Why have 5 $1 bills taking up the space of 1 $5 bill? No thank you. Coins are also easier to use in machines (vending, tranist, etc.)... no need to press coins flat multiple times until they're accepted.
If a big wad of $1 or $2 bills makes you feel rich or is used to impress the ladies then I guess you have a point.