Search Api Solr - Pointing term links inside a view to its facet
Why would you want the fields in the search results to have taxonomy terms that are linked to the facet URL instead of the taxonomy page of the item? It just seems a little redundant, because that's what the facets there are for.

A solution would be to use FacetAPI Pretty Paths and rewrite the output link of the taxonomy term to match the URL of the facet. You'll need the fields term name and id, then format as : www.example.com/search-page/[pretty paths term]/[term name]-[term id]