Adding a filter on a tab nav bar

I have a list of posts that are sortable by type/category. The default is 'all'. Other types are 'messages', 'files', etc. When a user clicks on the tab, these posts are refreshed via ajax to their corresponding tab contents. I need to have a filter functionality as well. Current filters are 'filter by topic' and 'filter by profile'. The question is: Does it make sense to have the filters in the same tabbed nav as the main category tabs?

After reading the suggestions, I think I am going to move the filters to below the tabs. This should solve the current UX issue and also allow a greater amount of tabs. Also, it will allow other sorting or navigation elements on the same level as the filters.