He is essentially the perfect inverse of Durden.

Musk is an immensely wealthy capitalist while Durden eschews basically all material possessions beyond what is immediately useful toward the purpose of destroying the world's financial system.

Musk attempts to revolutionize all kinds of technologies and make them less costly to allow for more widespread and common proliferation, whereas Durden believes in basically a return-to-nature kind of anarcho-primitivism: he hates how technology leads to dull, boring, monotonous, safe lives.

Finally, Durden is actually immensely charismatic to the point of being a cult leader of basically a secret network of terrorists, relishes in near total anonymity and would likely never want wide public credit for his actions... whereas Musk is probably one of the most awkward, poorly spoken dorks who has ever managed to gain an extremely public cult following, basically by promising impossible nonsense, who seeks and needs constant validation and fame.

EDIT: As a further illustration of point 2, if Musk ever dies in a situation where he decides to not pilot the vehicle he is in, it will be because the massive amount of money he has spent to develop a self driving car will prove faulty; a victim of overconfidence in his on wealth, his own leadership, technology. He would be an unwitting victim of his own failed self and worldview.

If Durden would have died in the 'Let Go' scene, he would have been completely fine with the random nature of the universe taking its course, and basically would have enjoyed the sense of being 'truly alive' for the duration he was dancing so close to death.