As for income inequality, the statistics are pretty telling.
http://money.cnn.com/2011/11/08/news/economy/global_income_i...
But it is the goal of liberalism to have strong social safety nets and equalize pay to all. The US has a different culture with different values... tending towards the "conservative" and with great trust in market forces.
"Obamacare" is seen as Socialism and half the population seems to hate it. But Obamacare only establishes rules for the free market to operate under... standardizing health care plans across insurance companies. There is no state-sponsored health care from the law, and yet people are still worried about socialism.
Obamacare is closer to Credit Card reform, in that it forced all credit card companies in the US to standardize upon the "Annual Percentage Rate" / APR so that everyone can comparison shop across credit cards. With Obamacare, all insurance companies have to offer similar plans (bronze, silver, gold, platinum), and they must cover certain provisions (contraceptives make the controversy here). So now when you see a "Bronze" plan from say... Aetna Health Insurance, you know it is similar to "Bronze" plans from Kaiser Permanente.
As far as the "Socialism" goes... US has had Medicare / Medicaid for nearly 80 years now. The "socialist" part of our health care system has existed for a very long time, but no Republican seems to want to attack it.
But inside the US, any new laws upon the market is seen as a "Market Distortion" and is criticized as "Socialism". Because most American's don't even know the meaning of that word. The absurdity in the "Net Neutrality" argument is more proof of the free market sheeple ignoring important issues and placing their trust in the free market instead.