A tax rate of 1000% won't result in "fewer billionaires" as 0 of the top 10 (and approximately 0 of the top 100 I guess) billionaires made their wealth through salary. It's almost always either entrepreneurship or inheritance or marriage or more multiple of these. Taxing income won't change that.
AOC's suggestion is a cheap political play that encourages the low-vs-middle-class adversity and might win her some votes, but really most billionaires would applaud it, because, again, they'll escape unscathed. She can't suggest taxing profits/capital gains/inheritance/trust funds of course, because then she'd make enemies of actually powerful people.