User reference (Profile2) with Views
I managed to fix this issue with a combinations of a relationship and a custom formatter.  

First, in a (User) view, I created a contextual filter with User: Uid. Of course, no contextual filter will be given at the page, so I provided the default value User ID from logged in user.

Then, I created two relationships. The first one User: Profileand the second one Profile: [your custom name]. The second relationship is created with the first one as relationship. 

Next, in my Fields section of my view, I added a Profile field and gave it a custom formatter. By using this custom formatter, I was able to display all the needed data.

If someone is interested in more code, please let me know!