I don't think there's something that needs to be done to make bitcoin stable as far as its market value is concerned. Let's not forget that bitcoin is a very volatile asset that relies on the supply and demand.
What we can do to make cryptomarket more stable is to speculate less, but who is willing to do that? When market is flooded with speculators what else price can do, just to swing as speculators plays on their instruments. People are in panic price is going down, people are on fire price is going up, panic and fire can be small or big, maybe huge but its burning all the time, thats why we have so unstable prices, unstable market, where everything and anything is possible.