First of all, you would need to set the Employee Access Type Licensed? attribute to Yes. (Note that this means you will be consuming licenses for your Employee logins and not just your Analyst logins.)
Then, in the Employee Data Partition you would need to remove the View constraint on the ca_contact table.
Lastly, you are going to need list_cnt.htmpl and detail_cnt.htmpl forms in the $NX_ROOT\site\mods\www\htmpl\web\employee folder in order to be able to search and view contacts.