The question should be, what should happen so that it stabilizes. If Bitcoin and cryptocurrency marker were to stabilize, the competition between different cryptocurrencies should mean the trade off between their different features will be directly reflected in the cost to their user. The possible features are: - Transaction time (Bitcoin is relatively bad here) - Transaction fee (Bitcoin is also one of the worst options here) - Smart contacts / other integration features (Bitcoin is going nowhere here) - Anonymity (Bitcoin isn't in the best spot here, might have the advantage of being the most commonly used BUT this is a matter of momentum only). - Resistance to attacks from large groups of people (Bitcoin's biggest advantage, but again only a result of it's initial momentum, which might not hold forever).

Now you can also notice that all these features are composite. If you really want to pay for anonymity, you can tumble though the most anonymous currency. If you need smart contacts, go through eth. Resistance to nation state attack is a noble ideological concept, but has low demand, and a cheaper but weaker coin will be dominant in most scenarios.

You will also know a market is stabilized when there no incentives to create competition without innovating. There's nothing stopping you from creating yet another crypto coin, which will have better transaction fee and will still be as decent as others.

Anyway you can clearly tell the market is clueless when the talk isn't about which coins gives you the best features for the most cheap price, but instead about which coin rises the most (which is usually exactly the opposite).