That's Bob Dylan talking about television. Any eggs laid in your beautiful mind lately by some invisible insectoid politico?
"It will lead you into some strange pursuitsHe means the TV, which is what Elvis shot out, not the brain. That's a lyric you must take care not to misread.
Lead you to the land of forbidden fruits
It will scramble up your head and drag your brain about
Sometimes you gotta do like Elvis did and shoot the damn thing out"
Having taken a break in the middle of writing this post to scramble some eggs — chicken eggs, not insect eggs — I take delight in the appearance of "scramble" (in "scramble up your head") so soon after "Don't let an egg get laid" (in your head).