I have pulled off DSpace high availability setup on 6.3 by using a high availability setup of both Postgres and Solr, and using an NFS share for the assetstore folder. As a read-only database this worked fine but the issue arose when you wanted to authenticate a user. A clustering solution is required for the session objects, I suspect it may be possible to do at a Tomcat level but I have not attempted it.
If you are needing to run index-discovery constantly, I would take a look at your clustering solution for Solr as it may not be correctly synchronising data between nodes.