You want to be a mathematician? You need to know how to program. You want to be a "secretary", you need to be able to dig through your boss's e-mail using regexpes when he needs to find sth, you are a dentist - you will install your own scripts on the website because you know how to do it from high schools.
In 2016 (or 2012) it won't be "oh, we need more skilled programmers", it will be "sure, you know programming, everyone knows, but what really you know?". Programming will have the same place on CV like "MS Office", or "keyboard typing" has right now. No big deal if you know it, but much harder to find your job if you don't.
Of course there will still be place for real computer experts - algorithm designers et al, but the basics will be known to more and more people.