In general you should use the "tools->options->applications"
to edit which application is used by default to open different mime types. However if you can't set it that way you can edit the mimeTypes.rdf directly, but this is discouraged.
Adding the following should work (use at your own risk):
<RDF:Description RDF:about="urn:mimetype:application/json"
NC:value="application/json"
NC:path="<path to firefox>"
NC:saveToDisk="false"
NC:editable="true"
NC:prettyName="JSON object">
<NC:handlerProp RDF:resource="urn:mimetype:handler:application/json"/>
</RDF:Description>