Medicine requires engineering skills. Prosthetics? How about that metal plate holding a femur together? You think they buy that off the shelf at Wal-Mart? Engineering is without a doubt the worst counterexample you could have provided.
As for IT systems in medicine, just ignoring the digitizing of medical records, there are countless improvements that can be made in medicine at the IT level. If IT and research are completely partitioned and cannot interact, then they aren't considering the effect of IT on medicine. That means they're trending towards being a sub par institution.
And your facetious J&J example is still entirely applicable. Deunionization of support and janitorial staff has caused worse overall outcomes for hospitals. Considering how dangerous staph infections are in hospitals, you've provided another stupid example. I'd much rather go to a hospital with unionized and well paid janitorial services than one saving 20% in costs and profiting off of minimum wage janitors.
Your lack of imagination makes me hope you're not in charge of anything important.