I am not sure if this does not belong in the News and Current Events area, but yeah, it is a bit over simplified. In addition to the divergence on what types of tax cuts are most efficacious, you also have those that believe government spending is preferable to tax cuts (typically on the Dem side) and those who believe that that balancing the budget is always important (typically Republicans) and that the government should not have deficits or surpluses regardless of the state of the economy.
Also with regards to tax cuts, much of the Republican "job creator" argument centers around the theory that you cut taxes not just on rich folks but also on businesses, so that their cost are lowered and so they might hire more people, expand their businesses or create new businesses. The Democrats approach it from the demand side of the equation and say that by giving tax cuts (to the poor and middle class) and by increasing government spending you will increase the demand for products & services, which will cause increases in hiring, business expansions etc.
Edited to add: It gets more complicated than this, even, but that is a good place to start.