The problem with this is the unanswerable question:
How do you define a Professional System Administrator?
Unlike professionally licensed fields (architects, engineers, lawyers, doctors) there really isn't a unified (or even fractured) system for licensing / credentialing sysadmins (though arguably the profession would be well served by one given some of the people that pass for "sysadmins").
Similarly membership in a professional organization isn't a prerequisite -- even LOPSA (arguably the largest "sysadmin association") doesn't cover more than a tiny fraction of our active contributing membership.
Aside from the above, I think the idea of exclusionary membership runs counter to the principles underlying Stack Exchange -- Even though Server Fault is an oddity in that we're geared toward being a site "for professionals" the idea of open membership and a community-controlled meritocracy seems like a better fit than restricting who can say what.
Sometimes the best ideas come from the outside, and the community (SF and System Administration at large) should not be set up in a way that excludes outside voices. Better to hear them and then decide if they're crazy or not.
in a maintainable manner
doesn't pass muster. Home use questions are still explicitly excluded, even if your home is run like a tier 1 datacenter, and a newbie's idea of maintainable may be plain wrong. There is a (social) barrier to entry, it's just not one that can be codified as "member of professional organization", "licensed professional", etc. Our use offor Information Technology professionals
andin a professional capacity
are essentially a catch-all: there's probably a better way to phrase it, but we haven't found it yet.