If you're going to extend this metaphor to its logical conclusion, you have to posit that Obama is not only the Democratic Nixon, but he's the inverse Nixon as well.
Nixon governed largely by ceding domestic policy to the Democrats while pursuing a moderate Republican vision of foreign policy, and most of his major accomplishments were White House overseas initiatives, e.g. opening China, that were accomplished without major legislative assistance.
Obama has governed by basically ceding foreign policy to the GOP (and this includes domestic policies that are related to foreign policy, e.g. the surveillance State) which pursuing a moderate Democratic domestic policy without major legislative assistance, through the use of executive orders.
I agree with this. It feels like Obama is governing as FDR/LBJ on domestic policy and a continuation of G.W. Bush on foreign policy. Now, Obama hasn't been able to do as much as FDR or LBJ due to more opposition in congress, but it is clear that he would have wanted to. If there were at least 60 Democrats in the senate and a Democratic house from 2009-2017, we would have some version of single payer, a carbon tax and a very liberal immigration reform by the end of Obama's time in office.