Why does a string literal bind to a non-const char* even in the presence of -std=c++14?
It's a deprecated conversion, which has been officially removed from the standard starting with C++11.
Isn't a string literal const since C++11?
No, a string literals is and has always been const.
The ellipsis-overload is always ranked lowest. Why does clang select it?
Because the other one is not valid. There is no conversion from const char* to char*, for the same reason that there is no way to convert a const std::string& to a std::string&.
So overload resolution skips that one and chooses the only remaining overload (which also happens to be valid), and prints 1.
one would think it doesn't allow binding to char* but if I remove the ellipsis overload, it still does 
Yes, that is a non-standard extension, just like the gcc one. You should try to compile with -pedantic.
What's going on and who is right?
clang is definitely right. An extension is not allowed to modify the behavior of a well-formed C++ program ([intro.compliance]p8), so gcc and MSVC are wrong to use the second overload, as the standard doesn't support implicit conversions from const char* to char*, and should thus fall back on the first one.
To reiterate, your demo is in compliance with the standard because that program is ill-formed according to the standard (the string conversion) and they issue a diagnostic, and so it doesn't run afoul of the paragraph linked above.