Note the last paragraph I quoted-- Simonsohn's inbox is full of tips about iffy research of many kinds.
There are two issues: having influence within a profession (difficult) and getting paid (not obvious, but possibly easier than having influence). The path isn't as easy as I thought. Perhaps the best route is looking for a job teaching good statistical practice.
If psychologists want and accept being taught good statistical practice, as Douglas_Knight suggested, then that seems likely to work.
Simonsohn, a social scientist, investigates bad use of statistics in his field.
A few good quotes:
Laugh or cry?:"He prefers psychology’s close-up focus on the quirks of actual human minds to the sweeping theory and deduction involved in economics."
This looks like a clue that there's work available for anyone who knows statistics. Eventually, there will be an additional line of work for how to tell whether a forensic statistician is competent.