What Austin is experiencing is a severe case of what's happening to cities all over the country. For many this is uniformly good thing but for a place like Austin, with a strong identity and cultural history (and, since the 60s, a liberal enclave in a deeply conservative state), it has very specific costs.
Far more specific than a vague sense of 'things changing'.
A lot of what's happening in Austin is a result of public policy too, and it's been so for at least two decades. The city has actively pursued its transformations. Though even if it hadn't, Austin would still have been a huge draw for refugees from California and the East Coast.
This is a game anyone can play.
What about NYC? Think it hasn't changed? It's changed a ton. Why not complain about that? How about L.A.? The whole world has changed, and will continue to change, and you can be as certain of this as of anything else.