Platooning has shown promising results in improving transportation safety and decreasing fuel consumption. Vehicles enter these formations, to form convoys, while traveling to similar destinations. However, this implies trust in the information received by the other platoon members. Insider attackers performing falsification attacks can destabilize the platoon or cause catastrophic vehicle collisions. Detecting this type of misbehavior is not without shortcomings: benign mobility deviations can be, erroneously, flagged as misbehavior. Further, even when an attack is detected, the vehicles remain affected until the attacker is excluded from the formation. Thus, in this work, we address the need for a reliable mitigation approach. We propose a platoon restructuring scheme aiming to mitigate attacks and reduce the attacker's potential for further misbehavior. Our results, and analysis, show the feasibility of our approach, which manages to restore the formation's stability even when an attack is ongoing.