Here is the empirical proof you are wrong. Read it, don't read it, I don't really care at this point.
http://www.epi.org/publication/bp196/
Here is a quick summary:
The key findings indicate:
• In 2006, the impact of trade flows increased the inequality of earnings by roughly 7%, with the resulting loss to a representative household (two earners making the median wage and working the average amount of (household) hours each year) reaching more than $2,000. This amount rivals the entire annual federal income tax bill paid by this household.
• Over the next 10-20 years,
if some prominent forecasts of the reach of service-sector offshoring hold true, and,
if current patterns of trade roughly characterize this offshoring,
then globalization could essentially erase all wage gains made since 1979 by workers without a four-year college degree.
What economic theory actually teaches about globalization and wages
When people argue that economics teaches that liberalizing trade is a “win-win” proposition, what they mean (whether they know it or not) is that trade is “win-win” between countries. The great insight of
comparative advantage, the cornerstone of international economics, is that even when one country can produce
everything more cheaply than its trading partners, trade still provides benefits to both nations.
An important caveat, however, notes that even as globalization raises national income, it can still reduce the incomes of
most workers. Global integration has at least two potential impacts on American wages. First, workers employed in industries directly in competition with low-cost imports from abroad can expect to see immediate job dislocation and/or downward wage pressures. Second, as relative prices change across industries, the return to factors of production, including different kinds of labor inputs, can be expected to change as well. A simple example can capture the essential insights of this second impact (which is almost surely the less intuitive one).