Almost every tech company has a signifcant presence in the US market, so I can't see this being much of a barrier. Unless of course, there's some proportion of income test specifically set to try and stop not patent trolls in general, but foreign companies in particular from pursuing infringement cases. Which seems rather more likely, given both the largely domestic nature of pure patent trolling in US courts, and the names of the companies backing this.
A simpler fix for patent trolling would have been to make losing companies pay the other side's costs, and to stop the plaintiff's from pocketing vast "punitive" damages. If the Yanks want punitive damages, by all means let them have them, but pass the punitive element back to the Feds, instead of incentivising the patent trolls with a system that has few risks in initiating legal trolling, and big upsides.
But why fix the real problem, when you could pander to the corporations that will fund your election campaign?