Hmmm, OK, although I note a VAT imposes higher compliance costs on an economy, and is harder to evade. And still, comparing to the US is very difficult, seeing as we have 50 state wide taxing regimes with much more complexity in what's taxed how much, many many many more local ones (the small-medium sized city I live just outside of has at least 3), and it's generally ignored on out of state mail order purchases.
Hard to compare, but probably not grossly larger in Switzerland.