This model can be done in one print without the use of dissolvable support material
Step 1: Go to Thingiverse
1. Go to Thingiverse to download the .stl file for the ball joint.
Step 2: Create Gcode
2. Use ReplicatorG/Makerware/etc. to create the gcode for the print.
Print the file (I used no raft but full support with a 15% infil, .2 mm layer height and 2 shells)
Step 3: Print!
3. Print the file. Knock out the support material that is used for the ball part of the print. Now, the ball should be free to swivel inside the housing.