Dominating in the sense of demographically displacing Americans across a wide swath of roles. This eventually leads to fundamental changes to the company's structure and culture. Sure, the share holders may still be your typical white American elites, but beyond selecting the CEO, the board of directors has limited power, and if most of the company is Indian, then a white CEO's hands would be tied as CEOs still rely on lower level executives to carry out their will.
White American elites can take back their corporations through divesting and putting the money into new companies with favorable white demographics. But that's risky, and it also requires working against the platform monopolies that the top companies' successes are often built around. It's not like Indians will run a company like Microsoft, Amazon, or Google to the ground - those companies already have such insane global market share in their respective industries that true disruption can only come from radical technology changes. Even mediocre Indian executives cannot screw that up, so it's not likely that the situation will change any time soon.
