The most severe orthognathic cases in Ireland are treated via the HSE/healthboard, as opposed to being paid for privately by the patient.
Ireland is a small place, and patients are not necessarily as publicity hungry as their US/UK counterparts. You could understand why many wouldn't feel comfortable posting up their "before and after" picture& accompanying blog, particularly if there's no financial incentive to do so.
Re MaxFax surgeons here/in the US or UK....it's one thing "cracking the skull and rearranging the face" of a complete randomer/stranger, quite another when it's your neighbour/colleague/first cousin/daughters' friend

(as it generally tends to be in a small country). No pressure for good results in Ireland?!
On a final note, your orthodontist should not "shove a surgeon down your throat", however he will likely recommend someone whose work he has knowledge and experience of. Equally, he's unlikely to jeopardise 2+ years of his own work by sending you to someone he doesn't have confidence in himself. I'm sure he'd be more than happy to show you some (consented) before/after surgical cases on his own files.
All surgery brings risks, it's understandable you're anxious to be in the best hands. MaxFax surgeons piece peoples' faces together after road traffic accidents though- I wouldn't underestimate their ability just because of their geographical location, or because they or their patients aren't doing jazz hands on YouTube.