The way I see the stimulus package presented by the government is that households across America will receive some money and hopefully that will go back into the economy and generate consumer spending, company profits, and higher wages/more jobs.
Yep! The stimulus effectiveness assumes that people have savings and manageable debt. If that's not true, the money will go towards putting oil in the fuel tank, gas in the car, or paying debts for another month or two. The only reason the price of goods are lowered is lack of demand. That only hapens in an economic slowdown or a chane in technology that lowers demand.
However, you need to consider the time frame involved. Also, interest rates are not a closed system in the US. There are external factors - such as foreign investors. If the US really needs capital and it has to attract foreign investors, interest rates could increase before the average citizen feels solvent enough to buy a home. BTW, it's still cheaper to rent than to buy.