Tom Miller points to evidence that globalization is increasing inequality, and asks what if anything the left can do to resist the tendency.
Plenty. A fantastic place to start is this paper (pdf) by the great Sam Bowles, called Does globalization preclude egalitarian redistribution?
There are (at least) five ways in which globalization is compatible with egalitarianism.
1. Egalitarian redistribution can attract inward investment by increasing the security of property rights. You get fewer riots, revolutions and less corruption in countries where workers are better off. Just look at FDI statistics. Latin America and sub-Saharan Africa get surprisingly little inward investment.
2. Spending on infrastructure, such as health and education, can attract inward investment by improving the quality of the workforce. For this reason, this paper (pdf) shows that there's a positive correlation in OECD countries between corporate tax rates and inward investment.
3. Higher wages can induce greater effort, thus allowing firms to save upon middle-managers who can extract rents at the expense of shareholders. "Supervisory labour input is strikingly lower in countries with more equal earnings distributions" says Bowles, pointing to Sweden and Japan.
I suspect a key mechanism here is trades unions rather than a minimium wage. Unions (at least in their traditional continental form) can help police workers and scrutinize or legitimate management.
4. A citizens' basic income can reduce poverty without blunting work incentives.
5. Globalization only prevents the high taxation of mobile factors of production. It doesn't stop the taxation of immobile factors like land.
Certainly, there are many examples of how countries have successfully integrated into the global economy whilst having lowish inequality; think of Sweden, South Korea or Japan.