Everything they have would be membrane M based, cap BS production was long done when they took over.
But haven't IBM used that plant since the '60s?
I know that site was Lexmark at some point, but I do not know if Lexmark had expanded to that location after the IBM sale or if that was a pre-existing IBM site that was taken by Lexmark.
The IBM Lexington plant was mentioned as operational in 1958, manufacturing typewriters. I suspect this is the same plant that Unicomp is now using, but I have no hard evidence for that. One factor that suggests otherwise is that the plant employed thousands of workers during its heydays, while Unicomp doesn't sound like it employs ~5,000 workers on its assembly lines.
But otherwise, it doesn't sound impossible.