Was I wrong to call this all-in bet?

Just a 3 person tourney in which we all started with 3k in chips and at the time of this hand I had a little over t4500 and the blinds were only 40/80. I was in the SB with KdQd and the Button raised to a straight t280. I called and the BB folded. The flop came 2d4d8c and I checked and then Button bet t500. At this point I knew he had a PP anywhere from 6,6-j,j. I just called knowing that I was actually favored when we saw the turn and river cause any K, Q, or Diamond would win for me. After the flop the pot was t1640. The turn brought a blank and he went all-in for t1700 more. I calculated the odds and saw that I was getting 2-1 on my money where I was atleast 35% to win the hand which justified a called based soley upon the odds themselves. Before I made the call, I counted how much I would have left if I lost and it was still little over 2k with the blinds still relatively low and I had confidence that I could still easily win with 2k. I knew if I won that hand though that there was basically no way I was losing as the other player left had only around t1500 and I knew I played much better than both to begin with. After I called and a Q came off on the river I was heavily scrutinized by my play. One thing that was criticized was my call of t500 on the flop because I was behind, but if both cards were seen everytime I was actually statistically ahead on the flop. They could not grasp the concept of having 15 outs twice is the same has having 30 outs once approximately. Even after coming home and calculating the odds on pokerstove and proving it to him he still disagreed. Anyways was I wrong to call?