AK pf, against likely overpair, still shove?

[barabe]

PokerStars No-Limit Hold'em, $0.10 BB (5 handed) Poker Stars Converter Tool from FlopTurnRiver.com (Format: 2+2 Forums)

UTG ($9.40)
Hero ($14.40)
Button ($17.75)
SB ($9.55)
BB ($11.55)

Preflop: Hero is MP with A[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/spade.gif[/img].
<font color="#666666">1 fold</font>, <font color="#CC3333">Hero raises to $0.4</font>, Button calls $0.40, <font color="#666666">1 fold</font>, <font color="#CC3333">BB raises to $1.5</font>, <font color="#CC3333">Hero raises to $4.5</font>, Button folds, BB calls $3.

Flop: ($9.45) 3[img]/images/graemlins/spade.gif[/img], 6[img]/images/graemlins/club.gif[/img], 2[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $9.9 (All-In)</font>, BB calls $7.05 (All-In).

Turn: ($23.55) K[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players, 2 all-in)</font>

River: ($23.55) 8[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(2 players, 2 all-in)</font>

Final Pot: $23.55




Well, I followed the basic preflop re-raise strategy, and by having him call I assume this random villain of unknown stats to be at JJ,QQ, AK-AJ. Am I right to act as I did?