aelf
Ashen One
That is an interesting point, because Tony Blair was right-wing [as was the New Labour project].
However, Blair made open reference to "third way" policies - which is an open hint at fascism. Blair was much more along the lines of a traditional fascist in his political outlook than he was a Thatcherite or a free-market libertarian.
New Labour was certainly a move to the right, but 'Third Way' was partly the intellectual contribution of Anthony Giddens, who I don't think can really be accused of being fascist.
The problem with New Labour, as Traitorfish said, is the accommodation of the legacy of Thatcherism, probably because it's politically convenient.