He doesn't have the wide range of experience Greenspan did going into the job, which has served Greenspan well.
Greenspan should weigh against asset markets in the good times -- just as he works to support them in the difficult times. He's been one-sided in his policies,
This is a similar point in the business cycle to when Greenspan took over the reins of the Fed. And of course he was tested right away with the 1987 stock market crash.
This Administration is trying to change the whole intellectual basis for fiscal policy that Alan Greenspan enforced when deficits were large in the early 1990s. We got fiscal discipline through the idea that deficits matter. That's been flipped on its head.
The new chairman will want to show his inflation-fighting mettle. Early on, Chairman Greenspan was on the aggressive side to establish his credentials.
Housing is a fault line in the economy that Greenspan is indeed worried about, but he doesn't think a housing (slowdown) will undermine the expansion.
If Greenspan had been stronger in his views, then the bubble would not have been as large and the subsequent correction not as severe.