As central_va points out, tax revenue increased despite tax increases under Clinton, and we can see that tax revenue decreased despite tax cuts under Bush.
So basically tax cuts will reduce tax revenue until there is enough growth in the economy to offset them. Taxes are only one of many things affecting growth, so to expect changes just on tax rate changes is going to fail. The effective tax rate in the US is already pretty low, so it is unclear how much of a drag it is on the economy. If we still had rates in the 50%-90% range, then cuts would have more potential effect.
Spending is a vastly bigger problem than taxes right now, and will only get worse as baby boomers continue to age.