Beasley drastically improving our team and hurting our draft position next year means that we would win 5-10 more games purely because of Beasley alone. This is so wrong it is hilarious. If he could affect our season that much, every team in the NBA would be knocking down his door, even with the drug issues... but he can't, so they aren't.
We have already dramatically upgraded our team this offseason, anyone that thinks we are still in the bottom 5 of the league and going to end up with a blue chip lottery pick does not know anything about the players we acquired, nor the state of some of the other teams in the NBA. A few NBA teams are obviously tanking in an attempt to land Wiggins, Parker, or Randle... and I hate to break the news top you, but the Bobcats are not one of those teams. With Beasley or not, we will be on the cusp of the playoffs in the East and will be drafting outside of your delusions.
Basically if they end up outside of the top 10, then picking up Jefferson was the worst mistake this team has ever made. Point blank period and there isn't even a slight question about it. Having a chance at the possibility of what Randle, Parker or Wiggins can be is better then anything that Jefferson can provide unless he suddenly gets quicker on his feet and starts to play some serious defense.