Indeed, most politicians don't really want you to focus on critical thinking. It would solve some of their problems, and create lots more problems for them.
But for yourself, it is becoming more and more important to really think through what is being presented to you in whatever media form and analyze whether it is credible.
The print form of a deep fake is plain old well constructed word-lies, which is why we have had the phrase "don't believe everything you read on the internet" for awhile. There are people who do, but we live better lives if we don't.
Deep fakes aren't really a new problem, they are just a different form of an old problem.