This paper focuses on the way of thinking in both classical and modern Physics and Statistics, Statistical Mechanics or Statistical Physics and Quantum Mechanics. These different statistical ways of thinking and their specific methods have generated new fields for new activities and new scientific disciplines, like Econophysics (between Economics and Physics), Sociophysics (between Sociology and Physics), Mediaphysics (between all media and comunication sciences), etc. After describing some recent definitions of statistical thinking, implications of statistical education for developing Econophysics, Sociophysics, Mediaphysics, etc. from Statistical and Quantum Mechanics are discussed. Several opinions are given as a direct liaison between the classical and modern statistical sciences and thoughts of a scientific research in general. The main conclusion is that Statistics developing habits of mind for Statistical Physics in Econophysics, for the Quantum Mechanics in Quantum Physics, for the Sociology in Sociophysics will be essential for the future of all.