Simple JSON-RPC has been updated to 0.9.7. This new version includes the ability to enable using full class names rather than simple method names. This makes using multiple classes with the same public method names possible.
<init-param> <param-name>use_full_classname</param-name> <param-value>true</param-value> </init-param>
With this feature enabled, you then call methods via their full classname + method name separated by a dot (this nomenclature is for both static as well as non-static methods, the framework handles the particulars in the back-end).
Special thanks to Stephan of Cross Pollinate for suggesting this improvement!