The issue with VAT is that as usually applied it is an extremely regressive tax. Poorer people spend a far higher proportion on their income on purchases that have VAT applied. If more categories of basic goods were zero-rated or exempt, or if other mechanisms were used to make the VAT burden less regressive, then it might be viable.
True, but at least the price label in the supermarket is the final price you pay, no nasty surprises at checkout. VAT is already included in the advertised price, so you know exactly how much you'll have to pay. Apparently, the same is not true of sales tax in (some states of?) the US.
It doesn't say the VAT rate on the label, but you can figure that out from your receipt after solving a bin packing problem :) Receipts contain a listing of the different VAT rates (e.g. in Germany, x€ at 19% and y€ at 7%)
The FairTax proposal in the US addressed this with a "prebate" that was mailed out to every person (not sure the criteria) at the beginning of the year. This was a check that covered the taxes on base (poverty?) level spending. This was meant to remove the regressive taxation effect.