Действительно очень похоже.
English [kʰ] and [ɡ] sounds contrast not only by vocalization, but also by aspiration. [kʰ] is aspirated. So the Russian unaspirated [k] sound could be interpreted as [ɡ] by an English speaker.
Russian soft [д’] has a fricative release ([dᶻʲ]) and sounds much like [dz] ([dz] in Godzilla is slightly palatalized before an i).
As for vowels, American [ɑ] in the first syllable is almost identical to Russian stressed а in «как». [ɪ] of the second syllable is perfectly identical to Russian unstressed е/и (syllables just before the stress are pronounced a bit longer in Russian, so they possibly could be interpreted by English speakers as stressed).
The least similar are the final [ə] sound in Godzilla and the stressed Russian [a] in дела́. But the phrase «как дела?» is often pronounced negligently, so the final sound can became a bit unclear.