The only way to get people to stop worrying and shying away from Bitcoin, is to banish the volatility aspet of it, naturally.
I put emphasis on the word "naturally" because you cannot force a monetary process to establish itself in a few short years. The price and users must gradually reach an inflection point on their own.
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Bitcoin will lose a big chunk of its volatility as its market cap increases, so the more pricier each Bitcoin, the lesser the volatility, and that will happen naturally.
You can see the opposite of that in low cap altcoins which due to small small market cap move +/-5% with a single large buy/sell.
But other than that there are also other factors that will have some influence over volatility, such as trust and reputation, obviously a new digital asset won't have the same trust and therefore lower volatility as a reputable coin like Bitcoin which has been around more than a decade, so as more time passes Bitcoin price could get less and less volatile and sensitive to short-term negative/positive news or be affected by what other markets are doing(like now that Bitcoin price is following US stocks), so in a way crypto market will mature itself as it ages.