"30 Rock": Alec or Billy?

On "30 Rock" last night, Tracy electrocutes himself while listening to "We Didn't Start the Fire." As Billy Joel repeats "Nixon, Nixon, Nixon..." Tracy dreams that Richard Nixon is convincing him to join the Republican Party.

It was a really fun scene, but....

Did anyone else think that when Alec Baldwin's character became Richard Nixon, he just looked like Billy Baldwin? Anyone?!