I know for a fact that saved Kibana dashboards (ie, the JSON file of the dashboard) are saved in OR associated to a particular ElasticSearch
In version 1.0.0+ of ElasticSearch the snapshot and restore APIs have been made available:
http://www.elasticsearch.org/guide/en/elasticsearch/reference/current/modules-snapshots.html
http://chrissimpson.co.uk/elasticsearch-snapshot-restore-api.html
This enables you to quickly back-up (snapshot) and restore every, or any, index that is on any given cluster. Thus you might want to look at upgrading to that version, since this will give you a simple API call to take a snapshot of the "kibana-int" index, and restore that index to any other cluster.