Romer is a New Keynesian. So, the dispute you’re discussing is between Old Keynesians and New Keynesians.
Take a look at Mankiw on the New Keynesians and the macroeconnomic synthesis:
http://www.econlib.org/library/Enc/NewKeynesianEconomics.html
The literature has moved on from the monetarist-Keynesian debate.
