Go is an OK language for server-side stuff. It's not perfect. The concurrency isn't as airtight as its proponents originally claimed. Reflection and type "interface{}" tend to be needed too often. Other than that, there are few killer problems with the language when doing server-side stuff.
The libraries for doing web server type stuff are available and well debugged. When you use a Go library that came from Google, you're probably using code that's executing a few million times a second on Google servers. (As I mentioned on here a few months back, I recently ported a medium-sized production Python program from Python 2 to Python 3. I found library bugs which would have been found long ago were the code heavily used.)
So yes, Go is doomed to succeed. That's not a bad thing.
As for Rust, while I like Rust personally, it may be too complex. The borrow checker concept is brilliant, and a huge advance in understanding how to avoid a big class of bugs. We'll see that again in future languages. The type and generic system, though, pick up where C++ left off, and seem to lead library developers to develop very complex interfaces.
Rust is for people who debate language semantics on Lambda the Ultimate and program in Haskell for fun. Go is for people who have a job to do.