The notion of the right moving right is another media lie. The congress elected in 1994 was far more conservative than republicans who picked up seats in 2002 and probably 2010 as a whole. Mitt Romney and John McCain are more liberal than President Bush, who is more liberal than President Reagan was.
By contrast, the democrats have done a 360. After losing in 1980, 1984, and 1988, the democratic party nominated moderate Bill Clinton. In 2000, Al Gore moved to the left to win the nomination and the party continued moving left with John Kerry and Barack Obama. The democrats have become more liberal, but so have the republicans.