The reality is that [..] that we draw on the meaning provided by others

The reality is that that is the prime cause of suffering. People are unhappy because they cannot possibly live up to all the different expectations different people have of them.

  For many, the assertion that the "universe looks on with indifference" is
  strictly worse than irrelevant.

Which is sad, because that truth can result in the most complete sense of freedom one can possibly get. Contemplating how 'Nothing matters' sends shivers down my spine.

  trying to re-make yourself all at once

There is no need to do it all at once. There is no need to invent everything from scratch. A true nihilist won't stay alive for long, so that's not the goal. We can choose not to be a slave of society, culture and morals. That doesn't mean we can't also choose to accept parts of them, and live in full acceptance of their positive and negative aspects. The point of remaking yourself is choosing how you wish to live your life, instead of mindlessly doing what others expect.

The philosophy kashif describes can be considered to be Buddhist, Existentialist, Nihilist and probably many other things, in nature. Your interpretation and rejection of it as Nietzschean nihilism says more about how you view these things than about what kashif's quote means.