Define a wiki page for users with less privileges (submit tickets but not view all the fields of information in them, etm), and show tickets there with just the minimum fields you want them to see. (use PluginTrackerList with fields param)
And let your editors/admins use either the tracker feature directly, or another wiki page with a higher number of fields shown there.
This is aside of the configuration per field to make that field only visible to certain groups, etc., as you do with the tracker field edition, permissions section, etc.
You can also force users with lower privileges to view only tracker items through the wiki pages you define for them, but not through the whole tracker feature, etc.
Consider hiring a consultant if the setup you are looking for is too complicated for a person starting with Tiki.