Not very environmentally friendy :-?
I agree!
However, let me add that jet fuel tanks aren't filled to the brim. Pilots estimate the amount of fuel they need along with a 45 minute reserve. In the event of an emergency (ex. landing gear malfunction), jets generally fly around in patterns to burn off a lot of fuel before landing.
In normal situations, I don't know how often pilots dump fuel in order to meet the maximum landing weight of their AC.
The airlines have flight planners that do all of the fuel calculations so pilots usually do not have to worry about that. However they can ask the flight planner to increase the fuel load if he/she has a good reason.
And as for full tanks that depends upon the aircraft the weather both in route and at the destination and traffic all play a part of the equation.
When I was at KJAX we had a B727-200 that went to KDFW and if the weather went bad some where between here and there we would have to take off all cargo and fill every tank to max capacity. Some times we would even have to take off a few bags due to weight. One weight you never want to go over is MAX TAKE OFF WEIGHT.