Money in the justice system

Our justice system, while having changed through laws and while every case is different, the goal remains the same: to find equal justice for everyone. Essentially this means that if someone commits a crime then they should be punished not only based on the severity on the crime but also on the possibility of rehabilitation back into society. Furthermore this means that everyone has the right to a defense even if the evidence seemingly proves that someone is most definitely guilty. However, this is where the justice system can be abused since the amount of money will influence the strength of the defense. Many of the case studies that we have gone over in this semester show how money can often win a case whereas the case most likely would have been lost without the money. For example, in the Claus von Bulow case, had he not been able to afford Alan Dershowitz as his lawyer then it would have been unlikely that the lab results would have been challenged and he would face a likely conviction. Also, in the OJ Simpson case, due to OJ's wealth he was able to assemble a strong defense team including Johnny Cochran, who were able to convince the jury of a police conspiracy, a feat that other lawyers would have not been able to accomplish. Because of this the question arises whether the process of acquiring lawyers should be changed as to not be influenced by money and if so, how?