I think they should let Murtagh lead them because I don't think anyone hates the Empire more than him or opposes the Empire more than him. I think he is mature enough and old enough for the job but instead they want to put Nasuada to replace Alijad. I don't think that is a good choice because she is to young and I don't think she is strong enough mentally. When Eragon was talking to the Council of Elders, they were trying to pick a new leader. They wanted to pick Nasuada just so they could control her but if she doesn't let herself be controlled then she is a true leader.
I think that is how our school is today, when we pick a mayor or we pick presidents they can't do anything. They can only do what the principals let them do. Sometimes presidents or rulers are corrupt which means that they are being controlled. Even if you are corrupted for money because you don't want to die, you are still being corrupt.