This is what [custom filters][1] are for.  
For example, if you [append `&filter=!BGRhem4Z)WIti9lP55R*tgr(Jq_fHC` to your query, above][2], you will get results without `upvote_count`, `downvote_count`, or `owner` information. (The first two aren't included by default anyway.)


----------
An easy way to create a filter is to use the filter-edit tool, on [the appropriate doc page for the path you are using][6]. :

(Sample image of tool follows. It is not specific to this question)  
[![Filter tool][7]][7]



  [1]: https://api.stackexchange.com/docs/filters
  [2]: https://api.stackexchange.com/docs/favorites-on-users#fromdate=1382486400&order=desc&sort=activity&ids=1310070&filter=!BGRhem4Z%29WIti9lP55R*tgr%28Jq_fHC&site=stackoverflow&run=true
  [6]: https://api.stackexchange.com/docs/favorites-on-users
  [7]: https://i.sstatic.net/NSNU9.gif "Click for larger image."