The better carb kits don't include the metal parts because the people who put them together understand that 1) they are rarely worn or otherwise deteriorated enough to need replacement and 2) they can't get parts that approach the quality of the originals for less than they cost at your local Honda dealer.
This pic of an aftermarket float needle shows how bad some of the aftermarket stuff can become in a short while (not to mention the parts that are out of spec to begin with). Yes, that is the chrome peeling.

Photo from Randakk's blog, provided by Mike Nixon. I recommend reading the page it came from
The factory float valves often last longer than the motorcycle. They're also expensive. But, I will not use aftermarket float valves, and here is why
www.randakksblog.com
BTW: Welcome to the forum. Please add your location and your bike's model and model year to your profile so that you don't have to remember to tell us every time and we don't have to keep asking when you forget (see Forum Settings link in my signature).
And welcome to the world of antique vehicle ownership (they own us, not the other way around). Your bike is about 4 decades old and present problem aside may or may not have had all of the maintenance necessary to keep it safe & reliable so it is highly recommended to download the Factory Shop Manual for your model (available through the CX Wiki - link in my signature) and go through all of the service procedures, regardless of whether your bike has reached the specified mileage.
I also recommend looking on all rubber parts with suspicion because rubber does not age gracefully. Check the date codes on your tires and replace them if they are over 5 years old no matter how good they look & feel (old rubber simply cannot flow around the irregularities in the asphalt well enough to grip, especially if it is cool or wet). If your bike still has the original rubber brake line(s) (should be replaced every 2 or 3 fluid changes = 5 or 6 years) I recommend shopping for modern stainless braided ones (they last practically forever and double the life of the fluid). And don't forget things like the rad hoses and the boot between the engine and swingarm (they can crack on the bottom where you don't see it).