Perl 6 is imo a waste of time -- it's too experimental/bleeding edge. I mean, you might be able to use it a small company, but not at most larger companies where even using Perl 5.10.x is difficult. I would take a different approach -- get your hands on the latest Red Hat Enterprise Linux (or the equivalent CentOS, which is basically RHEL without the branding) and become familiar with whatever version of Perl they ship with along with MySQL, Apache, etc.

Update: That's going with the "make yourself more marketable" approach you indicated -- it obviously might be more fun to learn Perl 6 (or 5.10 or 5.12). Also balance that against e.g. learning more about Object-Oriented Programming, etc.