> There are largely three types of cheese in the US: Swiss, American and Cheddar.

All sources I can find have cheddar #1 and mozzarella either #2 or #3 (with cream cheese #2 when moz is #3) in the US. American is behind them and Swiss is way back behind a bunch of other things including Jack and various blends.

Swiss/American/Cheddar might be the big three for a particular sandwich shop, but...