Sorting the contact by VCard's categories My contacts are currently stored on a CardDav server (more specifically, an OwnCloud instance) and I am using DAVDroid to do the synchronization. 
The problem I have is that I want to be the VCard categories to be used to sort and filter my contacts, a little like the groups of the default contact app, and the default Contacts apps does not seems to allow that. Also, moving my contacts to gmail storing to use the group feature instead is not really an option.

Regards
Open Contacts
Menu -> contacts to display
Choose Customize
Choose your email or G+ account 
Select that groups to show 
Hit OK and all the individuals with those labels will be shown


Source: Tested on Contacts app running on a KK 4.4