False. Europe did a better job at distributing income due to high taxes but not wealth.
Most Europeans are rich due to accumulation of wealth (specifically old business and real estate) inherited across generations.
Due to that, statistically, Europe does worse than the US wealth inequality as wealth has pooled to the people whose families have been here the longest, the newcomers are just burdened with high income taxes and high property prices, that's why skilled immigrants in STEM who have options and can afford to "shop around" usually avoid Europe in favor of North America.