a few ideas:

- see if he can be put on a project that he has complete autonomy over that is separate from the normal work that you are doing. or try and come up with something that he could do separately and doesn't need to be in meetings.

- split the team up so that he leads his own team. if he's that bad the people on his team will leave and his behavior will be that much more obvious. if he's a good engineer maybe he can actually get stuff done with him separately. if he's bad it's an easy case to make. if you make the decisions about who works on what give him the work you don't want to do. you're two levels higher and it sounds like he doesn't have much leadership experience.

- you said in one of your comments that your manager doesn't want to look bad to his manager. what could you do to make him look good and also get rid of this guy?

- can the bad guy move teams to something he likes more? where could he go that doesn't necessitate him working with you?

- make the business case that this guy is bad and not worth keeping. if he's already gotten rid of one good lead and burning out other people, I'm sure you can make the case that keeping him is not worth the cost. if his behavior is preventing you from shipping x% faster or higher quality or whatever it shouldn't be that hard a sell to management.

- whatever route you take document everything that he does that is preventing the team from accomplishing more.

- are the other people on your team reporting this behavior to your manager? if enough people are complaining and your manager doesn't do anything, he's clearly not doing his job.

- the skip level talk is also a good route. see if people that he interacts with that aren't your manager or teammates have difficulty with him. if he's that toxic you have more ammo with your skiplevel or anyone else with influence.

> if he's that bad the people on his team will leave and his behavior will be that much more obvious.

Often not true: while such people don't do great (programming) work, they are very political adept (which also includes being good at bullying outsiders), so often being a "disciple" of them is very useful for your career. So, while many people may not particularly "like" such a person, they often become "disciple" of him for such a self-interest.