Sorry, but both Reagan and Bush II were supply-side economic fans.
It's a neat theory. Reagan argued that it even makes sense for the government to cut taxes to below current spending and take on debt because in the long run, the economy would grow back so that eventually the tax cut would pay for itself. This approach is called "supply-side" because the stimulus (the tax cut) are applied to the suppliers of goods and services (the business sector).
The common objection to supply-side economics is that there's absolutely no guarantee that if you cut taxes on the wealthy, then they will use that money to invest in new business. In fact, since these tax cuts happen in bad economic times, investors might decide that their money is safer if they save it rather than invest it. Going back to the restaurant example, if the restaurant owner decides to just stuff that tax refund into a savings account, or just keep it in her mattress, then no job growth occurs.
Also, if the government did what Reagan (and George W. Bush) recommended and went into deficits to finance one of these tax cuts, and no economic growth occurs, then the government is in a really bad spot. They have to raise taxes back to sustainable levels, and then raise taxes again in order to get the money to pay for the debt, and then raise taxes even higher to pay for the interest on the debt. Or, they can do what Reagan did, and just roll the debt over by issuing more debt. This is sort of like paying off the Master Card bill with the Visa. It works great as long as you can always get another credit card to lend you more money. When the last credit card company decides not to give you a card, then you are in trouble.