Hero (BB): 4,374 (21.9 bb)
SB: 4,626 (23.1 bb)

Preflop: Hero is BB with 6h 6d
SB raises to 4,601 and is all-in, Hero calls 4,149 and is all-in

Flop: (8,748) Ac Qh 8s (2 players, 2 are all-in)
Turn: (8,748) 9h (2 players, 2 are all-in)
River: (8,748) 3h (2 players, 2 are all-in)

Results: 8,748 pot
Final Board: Ac Qh 8s 9h 3h
Hero showed 6h 6d and lost (-4,374 net)
SB showed 8c Ks and won 8,748 (4,374 net)

So this was the last Hand in a 6 Max SnG.
Since the HU started, my Opponent shoved almost every Hand he was dealed.
I was not sure about the Pocket 6. But i thought if he has two Overcards and he wont hit then i win.
Now my Question, was the All-In the right move and if not, why?