You're getting close.
However, your Male adapter is all wrong. Yes, it has hose threads, but you want FEMALE hose threads, not male hose threads. With a female hose thread, you can connect directly to the hose bibb, or connect to it with a standard garden hose. But if you start with male hose threads, you'll have to make yourself a special garden hose with female threads at each end to connect to the hose bibb.
The other problem with your male adapter is that it is designed for CPVC (yellow plastic pipe) not PVC (white plastic pipe). It MIGHT still work with PVC, but I don't know.
The other thing is that IF you are using plastic PVC pieces, then you don't want a quick connect adapter with MALE threads going to the PVC. The "standard" for air compressor quick connects is that the female adapter goes on the compressor end, while the male end goes to the tools (or in this case, the hose bibb). Not at the moment, I'm talking about the parts of the quick connect that mate together, not how they are connected to the compressor or tools. These quick connects are available with both male and female threads on either the male adapter or the female adapter (i.e. there is a male thread to male quick connect or female thread to male quick connect - that goes to the tool, and there are male thread to female quick connect or female thread to female quick connect - that goes to the compressor).
IF you use a male thread x male quick connect, then you CAN NOT use PVC for the rest of the connection, you never insert a metal male inside a plastic female, you risk bursting the plastic female. So if you ever have to mate metal to plastic, it MUST be a metal female and a plastic male.
There is also the option of doing the whole thing in brass. You can start with a
Brass Hose Adapter, and then use all brass parts to make the connection to your quick connect adapter (in which case a male thread to male quick connect is acceptable).
To do the whole thing in Brass, select your quick connect adapter for the compressor (make sure you get the size you want, 3/8" is more the standard than the 1/4" you show). Then go to the plumbing section and look for the Watts brass fittings section. You'll find the hose adapter I showed above. From there, you just have to find the right combination of fittings to bridge the link between the Hose adapter and the quick connect adapter. For example, if you are using a 3/8" male thread adapter on the quick connect, then you might be able to find a 3/4" x 3/4" nipple, and a 3/4" to 3/8" pipe thread reducer (I'm not sure what will be available, you might have to actually do a 3/4" to 1/2", then a 1/2" nipple, then a 1/2" to 3/8" reducer. Just make sure you don't use the flare fittings, just a standard Pipe Thread fittings.
So you see, there is no set way to do this, there are brass and plastic options, and exactly what you put together might have to depend upon what they have in stock at the moment.