This strikes me as something that's ultimately likely to encourage faster development in India, as opposed to leading to a reduction in western influence:
Not helping matters is the widely used policy among India's outsourcers that requires call center workers who have direct contact with U.S. customers to adopt names like Joe and Peggy. With these kinds of rules in place, it's hardly surprising that some of the more reactionary voices in India see in outsourcing the second coming of the Raj -- this time with an American twist.
The growth of outsourcing in India has been so meteoric that few have stopped to ponder its cultural implications, but now the dust is settling. There's certainly no real danger of a Taliban-style reaction shutting down the whole industry, but even modest reforms -- say, laws that would require Indian outsourcers to operate on an Indian holiday schedule and not an American one -- could be felt by businesses in the U.S.
Will the next wave of foreign direct investment in India be more tailored to the country itself?