Amazon and Netflix are both chasing the same goal, to have critical mass of a large range of appealing shows so that they are the one choice a customer will make for a streaming service. Netflix is way out in front right now. What they both need is to get more original series that will make a huge splash and make them look like the clear winner over the other guy.
Star Trek is the kind of brand they should both be pursuing with gusto. They're already going for big names in deals with Spacey and Fincher and Spielberg and Stephen King. A big name-brand series is the next step.