Neoclassical economics is more about individuals maximising profit and utility. For example, neoclassical economists would think that a government would want firms and business within an economy to be purely profit-driven and based, rather than thinking about employment and unemployment necessarily. Neoclassical economics see economics as a science, and tend to use more mathematical formulas when analysing economical situations. Criticism of the neoclassical theory tend to be the fact that neoclassic economists assumptions are taken for granted and unrealistic, treating economics as a science tends not to represent real situations. [Investopedia, 2012]
Government macroeconomics policy using the Keynesian theory would be more supply-side, whereas Neoclassical economists tend to be more demand and supply