Actually the US unemployment rate is higher relative to Europe than the Center for Economic and Policy Research (CEPR) report suggests.
The Europeans have a far more relaxed count for the unemployed, counting, for example, full time students looking for part time work as unemployed, and the US counts active duty military as part of the civilian workforce,, which Europe does not, further lowering the US numbers relative to Europe.
When comparing apples to apples, the EU and US have been much closer in terms of unemployment rate, and right now, our unemployment rate is higher.
Additionally, the consequences of unemployment are far worse in the US with a threadbare social safety net which involves, among other things, things like a loss of healthcare.