Nymrod, the gods of luck aren't going to like you any more because you started using d6s.
In fact, it might make them angry: If the luck gods are withholding 18s, 19s, and 20s from your dice, then your average result is still 9. but if they switch to withholding 5s and 6s from your d6 rolls, then your average result becomes 7.5
On a more serious note, drastically alterning the probability curve hurts a lot worse in 4e than it does in most other games. in a 3d6 curve, you only have about a 25% chance of rolling above a 12--something that 4e seems to call for a lot more than most games. It turns that extra +1 bonus from useful into necessary, and means that a lot of more interesting choices are gooing to go by the wayside.
If you're having serious "bad roll" problems, then I suggest one of the following instead:
1) Buy new dice!
2) Free +1 bonus to all rolls
3) Give players free rerolls or implement 3e style action points
4) Read through some of those threads on reducing combat grind--your problem may be less about your ability to roll well and more about the tactical choices that you and your players make.