You can do this by creating a custom site content type.

Go to Site Settings and the under Galleries select Site Content Type.

Click Create

Give your new content type a name and description

For the parent content type form select Folder Content Types

For the Parent Content Type select Folder

Select a content type group to put your new content type in. I
usually use Custom for this.

To add columns  to your new content type click the "Select from
existing site columns"

Select columns from Core contact  and Calendar columns

Add the contact columns you want to see for your employees.

I haven't done exactly this but it should work. As with anything
custom I strongly recommend you try this in a development environment
first and see if it fits your needs and doesn't break anything. I
believe that would be a YMMV kind of thing ya know?