Few national politicians in Europe are known EU-wide.
But how many politicians even Senators who represent US states or governors are known to the general US public? Not as many one would expect (one has to factor in the fact that most Americans do not read US-wide newspapers or watch "national" news - to what extent new media are changing that?).
Eg how many of the roughly 10+10 initial candidates (in the parties' primaries) for US Pres. every 4 yrs are "known" to the average US voter?
Thus the "real" issue is how can a "new wave" of politicians who are known EU-wide (not just 1-2 member states or the "Brussels bubble") emerge!