should I sometimes push this flop?

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Should I sometimes push this flop for what I assume is a tiny bit of fold value? I think definitely not. Fold preflop is not bad I think. Any thoughts on this standard hand?

Party Poker No-Limit Hold'em, $ BB (9 handed) converter

BB ($54.6)
UTG ($37.59)
UTG+1 ($93.55)
MP1 ($67.55)
MP2 ($49.5)
Hero ($51.95)
CO ($22.85)
Button ($52.49)
SB ($145.25)

Preflop: Hero is MP3 with K[img]/images/graemlins/diamond.gif[/img], Q[img]/images/graemlins/diamond.gif[/img]. SB posts a blind of $0.25.
UTG calls $0.50, <font color="#666666">2 folds</font>, <font color="#CC3333">MP2 raises to $2</font>, Hero calls $2, <font color="#666666">1 fold</font>, Button calls $2, <font color="#666666">2 folds</font>, UTG calls $1.50.

Flop: ($8.75) Q[img]/images/graemlins/club.gif[/img], 4[img]/images/graemlins/diamond.gif[/img], 3[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(4 players)</font>
UTG checks, <font color="#CC3333">MP2 bets $8.35</font>, Hero calls $8.35, Button folds, UTG folds.

Turn: ($25.45) J[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">MP2 bets $13</font>, Hero calls $13.

River: ($51.45) 4[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(2 players)</font>
MP2 calls $26.15 (All-In), Hero calls $26.15.

Final Pot: $103.75

Results in white below: <font color="#FFFFFF">
MP2 has Kh Kc (two pair, kings and fours).
Hero has Kd Qd (two pair, queens and fours).
Outcome: MP2 wins $103.75. </font>