Only for higher income individuals. We get a Foreign Tax Credit for taxes already paid where we live/work.
Looks like the limit last year was $120k. Only 17% of Americans make more than $100k/year. Only ~5million Americans living abroad, or 1.5% of the population.
I'm sure those numbers are correlated, but I'll bet its under a few hundred thousand of people who are burdened with the tax. Even then, the benefits also are pretty nice.