No, he governed as a liberal in New York and merely says whatever he has to get elected, just as Bill Clinton did.
“Rudy was first a Democrat who became a Republican just to get a job in a Republican administration, and he’s not done yet. There is no philosophical underpinning to him. There is one of a total amoral philosophy.” -- Alfonse D'Amato
I don’t think he governed as a liberal. He cut taxes, de regulated business, regulated the porn industry, defended the BVM, fought crime.