First off, my ISO is not showing a fog-like pattern…more of a giant blob for my volume.
Eventually I want to make it an SDF Volume, but that yields strange results as well. (Pics below)
File and original mesh:

Results:

Construction:

SDF Volume:

I've attempted this on two versions of Houdini on two different machines. I don't have the other machine's info but this is my current one:
Houdini v13.0.437
Platform: windows-x86_64-cl15
Operating System: Windows 8 x64 (6.2.9200)
Number of Cores: 8
Physical Memory: 11.92 GB
OpenGL Vendor: NVIDIA Corporation
OpenGL Renderer: GeForce GTX 860M/PCIe/SSE2
OpenGL Version: 4.4.0
OpenGL Shading Language: 4.40 NVIDIA via Cg compiler
Viewport Render Version: GL 3.3
Detected: NVidia Consumer
2048 MB