special relativity - Is Einstein's formula $E=mc^2$ the same as the kinetic energy formula $dfrac{1}{2} mv^2$?

If the kinetic energy formula is the same as Einstein's formula then $E=mc^2=\dfrac{1}{2} mv^2$. Or, $\dfrac{1}{2}v^2=c^2$. What does this prove? Does it prove that $\dfrac{1}{2}$ of the velocity squared of a moving object is always equal to speed of light squared?