You mean the Earth would start spinning on another two hypothetical axes, like a plane in a controlled/uncontrolled spin/dive? So instead of spinning in the direction we know now, there wouldn’t be any direction and would basically be rolling all over the place, in its orbit?
Larry Niven wrote something similar for faster-than-light travel in clear hull spaceships, in that before FTL, you see the stars, but when you kick it in, they disappear, causing a phenomenon he called the “blind spot” in his Ringworld series of books, in that humans would be transfixed by it, unable to take their attention away from it.
Have you ever played with a gyroscope?
The planet is a spinning mass traveling through space, gyroscopically stable, but it's not static. The mass of the planet is continually increasing and the distribution of mass is dynamic and ever changing.
The core is molten. The plates are floating and there is a continual redistribution of the planet's water mass.
There are gravitational forces from other celestial bodies pushing and tugging on us in our journey around the sun, and all in a celestial dance of dynamic equilibrium.
Is it unreasonable, all things considered, that over time the spinning mass that is the earth could become unbalanced enough to overcome its inherent gyroscopic stability and tumble a bit to seek a new equilibrium and rebalance itself?
To my limited knowledge and experience, it seemed reasonable enough when I was in high school and evidence has been found to support that theory.
It scared me pretty good at the time, when I thought about it.
Of course, after seeing the movie I'd hear the music from Jaws play in my head every time I went swimming, too, so I guess I had an overly active imagination then and scared fairly easily.