I guess the only way is for Cardano to prove its different from Bitcoin, to prove its so much better that Bitcoin price can be ignored because Cardano is its own entity. This will take a lot of doing though. We only have to look at how successful Ethereum is, yet it still suffers when BTC takes a hit
The thing that sold me was an interview with CH. He was explaining the task that Ethereum has in front of them to successfully switch over to POS. He also stated that they are probably not forthcoming about that development is going. I agree wholeheartedly that, ETH development just seems like a shitshow right now. Anything short of a perfect launch will be almost fatal for them. Plus, who would you put your trust in? A bunch of scientists across the globe, or a core group of people who have been on the record about being burned out.