As a final update here, I have made some good progress with respect to converting K mount lenses into FA lenses, but not by changing the mounts.
From the two lenses I bought for $10 each, I discovered that one of them, an SMC-Pentax FA28-80 mm f3.5-4.7 power zoom, was in perfect condition except for the power zoom switch. (missing and contacts exposed) As I didn't care about this function, I simply filled the opening for the switch with epoxy and had a good lens.
The other lens was truely junk, a sigma 70-210 with the entire front group missing.
It was too difficult to simply swap mounts because all the other lenses had different things behind the position for the contacts.
The project stalled there for a long time, thinking about the next moves. In searching the web, I found 2 articles on the contact arrangement of KA lenses, which I have referenced below.
Pentax Lens Modifications for Matrix Metering - Mark Roberts Photography Features and Operation of the Ka Mount
These give the coding of 5 of the contacts which are used to tell the camera the maximum and minimum f-stops of the lens.
In studying these articles, and also the sigma mount and a tamron adaptall 2 mount, it became clear that to convert the functions a spring loaded contact was needed in the A position (3rd contact from the right when looking at the back of the lens) which would short the recessed contact in the camera mount to the lens flange.
Further observations and experimentation with the sigma mount indicates that the data contact, (left most contact) also needs to short to the lens flange to recognize the lens as a KA.
Armed with this data, I modified an XR Rikenon f/2.0-16 50mm lens. Photo below. I elected to mask off thearea with nail polish, as opposed to drilling a hole and filling each insulator area with epoxy as some articles suggest, just to tri it out.
It works!!!
I have done some trial shots over the entire F stop range. I am going to take a close look at linearity of exposure, as one of the articles mentions that the apature mechanism changed from linear diameter change to linear f-stop change between the K and KA mount lenses. So there might be a little exposure drift over the entire range.
Edit note, I am still checking the validity of the grey pattern coding as the results seem to be a little variable, (good thing I used nail polish)