This thread was created in the wrong section. This should be in the Economics sections. Anyhow, to answer you question: A stable price would most likely end up attracting even more people to Bitcoin. One of the major 'cons' that it currently has (for people who consider joining) is that it is very volatile and that you might end up having much less money (e.g. in USD) the day after you've bought some Bitcoin.
Although bitcoin dont have a stable price, its papularity is still there becuase value of bitcoin and its price is so high for now. So his bitcoin is so papular even its price will npt stable.