I've been programming for about 20 years now, of which Perl was my preferred language for the last 10 years or so. I've had several kinds of jobs - I've build websites, I've done system administration, I've managed databases, I've been a trainer, I've been a consultant, and I'm currently an architect/designer/implementor. In all the jobs, I've used Perl.
I've never applied to a Perl position, and I've never been hired mainly because of my Perl skills (although having skills is always a good thing). And I have several frieds who have done a broad range of IT positions - and they have their languages of choice (not Perl) as well. None of them have ever taken a position as "programmer in the language-du-jour".
Don't focus on your tools - it's not the tools that are important. What is important is that you know your tools, and that you can use them to do your job.