Remove conflict documents from Domain Search

We are having some issues with conflict documents (replication/save) getting included in the Domain Index and therefore are searchable.
 
We would like the following to be added:
1. A setting that tells Domain Search not to include conflict documents in the index.
2. If an already indexed document, for what ever reason, becomes a conflict document. It should be possible, via the search form to omit conflict documents from a search result as a default setting.
3. A possibility to remove conflict documents from the Domain Index.
 
We have large applications that are accessed from web only and for a web user it is impossible do distinguis between conflict and non-conflict documents, All they see are that there are several versions of the same document. And they have no way of knowing which is the "right one".