The Far Right
The far right in French politics is occupied by two parties, the Front National (National Front, founded by Jean Marie Le Pen, and currently led (2011) by his daughter Marine le Pen), and the Mouvement pour la France (MPF). The FN is a classic extreme right-wing party, similar to Britain's BNP, campaigning on a ticket of national preference, law and order, and anti-immigration. The MPF is a sovereignist party, more similar to Britain's UKIP, with whom it is allied in the EFT movement in the European parliament; it is seen as a moderate right-wing party, and attracts conservative traditionalists such as its quite popular leader Philippe de Villiers, an aristocrat and former Gaullist minister. Both parties call for withdrawal from the European Union, or a massive curtailment of the EU's role.
The mainstream right
At present (2012), the political right in France is more coherent and united than the left. The main "conservative" party is the UMP - Union pour un Mouvement Populaire. This is the biggest political party in France, and the reason that it has achieved this status is that like Britain's Conservatives and America's Republicans, it is a party that encompasses a fairly broad range of political opinion, including traditional conservatives, social liberals, and also a Thatcherite or neo-conservative right.
The main political parties in France - About-France.com
Hopefully this helps a little in the debate, it does seem based on this reading that the "conservatives" in France at least are more akin to "moderates or even blue dogs" here, or even a party that includes all of them with the extremes represented by parties on the left and right.