A lot of replies in this thread are obnoxious hand-wringing. OP asked about these compressors, he didn't promote them as the next big thing in DIY fill stations. I also want to know. Instead of hearing about the cleanliness of the compressor, or seeing an analysis of said compressed gas, we get replies like "Don't". Nobody was going to actually use these for diving, we just wanted to know more about them. It may be that they cannot be used, or it may be that they are suitable for breathing air with some modifications and suitable filtering.
It's okay to think about it.
There are plenty of replies on this thread that explain why the compressor in the original post is not suitable for scuba. As I replied earlier, that compressor is designed for paintball, which uses small, 4500 psi cylinders.
Scuba compressors include very important filtering, as the air being compressed will be introduced to someone's lungs and bloodstream. The air breathed will still be compressed to higher than atmospheric pressure, which amplifies the physiological effect of impurities in the air. This is basic scuba knowledge, which is why most replies here are short and simple: don't do it, you will die. Because the people replying assume the OP either has basic scuba knowledge (because they are a certified diver) or does not have basic scuba knowledge and just needs to be told "No, you will die." (The implication being that the OP should get basic scuba knowledge before even thinking about doing anything scuba.)
Scuba compressors serve two important functions: they compress the air to a higher pressure, and they filter the air so it is appropriate for breathing. The compressor shown in the original post only performs the first function.
Can you modify the compressor shown to be a suitable scuba compressor? Absolutely, just like I can modify an old VW bug to look exactly like a new Ferrari. I would just need to buy a new Ferrari, remove all the parts, and then bolt the Ferrari parts onto the VW. Follow up question... does it make any sense to do this? No.
If you want a scuba compressor, buy a scuba compressor. The companies that make them have already done the hard part for you.