The only way to get people to stop worrying and shying away from Bitcoin, is to banish the volatility aspet of it, naturally.
A stable bitcoin price would be good for people who are using bitcoins on a daily basis for their business. Paying bills with bitcoins, or receiving bitcoins as a form of payment becomes easier when the price is stable. On other side are investors who are using bitcoins for long term investments, I think they would be less happy about stable prices. Less volatility in the bitcoin market also means lower rising prices. The question is also at which price should bitcoins stop rising or falling, 20k, 60k, 100k USD? All the initial investors probably ask for the highest price possible whereas the investors would want the lowest possible price. As long as there is such a large discrepancy between the valuation of different investor will I not expect a stable price. Most other assets like stocks or commodities tend to fluctuate heavily, it's part of the game