We are also looking for pretty specialized people, but there are none. So we will take also those, who are willing to learn. The downside is, that the money that goes to their training would be theirs, if they already knew what is needed (i.e. they cannot ask for the same money/benefits as those who are "ready made").
We are also based in small country, where everyone known everyone :).
I did real-time radar signal processing for six years, and hardware production support on radar electronics for 3.5 years prior to that. I can't convince anyone that these experiences are easily transferrable to other areas such as robotics and medical devices. In fact, I don't even get the chance; hardly anyone will even give me a phone screen. Yet I have been doing NLP for the past three years and can't get recruiters to leave me alone about it.
Some organizations don't like this. They want to pigeon-hole you as "the mouse driver guy" or whatever, and when your company stops making mice you're in trouble. Avoid these places if you can.
When reviewing job reqs, I see the opposite. Outside the web and mobile arenas, companies seem to want people who are highly specialized in what they do.