Many thriving consulting firms keep the "help wanted" signs out 24/7. REALLY good consultants are pretty scarce.They will grab the stars that respond because they:
-Are awesome relationship builders
-Bring a host of good new client relationships free of charge
-Operate on autopilot, with little management support
-Are wizards at mining other consulting engagements in the same client.
-Don't need lots of messy, expensive training in consulting
If you fit the bill, send your CV. Don't sweat the MBA/experience stuff. It is the minimum entry requirement anyway, not the differentiator.