The tricky thing is that as you do better, expectations rise as well. Look at this season, back in August I think everyone would have been pretty thrilled if you told them you travelled in time and could confirm that the Jets were indeed going to be a playoff team. But suddenly that wild card spot doesn't taste as sweet when you were on top of the conference, even if only for a blink of an eye.
In some perverse way I think the fan reaction would be more positive if it was clear that the team was tanking for a couple of years in preparation for a monster run down the line. When expectations are low to begin with, no one gets that mad when you are meeting them.