Deepfakes are not a problem now
I'm guessing that the tech isn't perfect and fakes can be rather easily detected. A shadow that falls wrong, lighting that is not changed, etc. Today's deepfakes are just the draft versions, it's tomorrow's deepfakes that will be frighteningly realistic.
So I'm going to do what you cannot count on Joe Public to do : if I see a video on the web with a prominent politician doing unspeakable acts, I'm going to wait for journalists to confirm that it is not a fake and the video is real. Until then, by default everything concerning political figures or celebrities is something I will file in Deepfake until otherwise notified.