Bill Clinton is not conservative. He only pursued some conservative policies because of Newt Gingrich, the Contract of America, and the 1994 Republican takeover of the House and Senate for the first time in 40 years due to the disaster of HillaryCare.
Unlike Obama, Clinton didn't care about policy. He only cared about doing what would line his and Hillary's pockets. He was more focused on selling out the country to the highest bidder rather than pushing any ideological philosophy.
And getting laid!
Which may have been his primary motivation.
That was meant to be more a dig on how far left the Democrat Party has moved, than Bill actually being Conservative.