But not everyone was flattered.
"Satan probably inspired him to do this, too," Liz Cheney, the former vice president's daughter and a Republican congresswoman from Wyoming, wrote in a tweet sharing a July 2008 story that says Bale was accused of assaulting his mother and sister. Bale, though, was not charged. Police said less than a month later that they found insufficient evidence to prosecute the actor.
Larry Elder, a conservative radio host and political commentator, also seemed aghast.
"Gee, some people in America consider Cheney a bright, principled, conservative public servant and loving husband and father," Elder tweeted.
Others took the comment in jest.
"BREAKING: Attorneys for Satan have filed for defamation lawsuit against actor Christian Bale," tweeted Col. Morris Davis, who led military prosecutions at Guantanamo Bay from 2005 to 2007.
Critics lauded Bale for his performance. The Washington Post's Ann Hornaday wrote that Bale inhabited Cheney "down to his distinctive, sideways grimace and wheezily stentorian inhalations."
"It's always deliciously entertaining to watch a great actor plunge into a role with this much brio and lack of vanity," Hornaday wrote, though the praises ended there, as she called the entire movie an "absurd mess."
The New York Times' A.O. Scott wrote:
"Bale, thickening and greying before our eyes, burrows into the personality of a shrewd operator endowed with whatever the opposite of charisma might be. His Cheney lacks any trace of charm, humour or warmth, except sometimes in the company of his family."