> I DO take responsibility for my own mistakes, I just don't want to be held responsible for OTHER PEOPLE's mistakes.

That's a sensible position. But if you want to lead a team then you must be responsible for any failures in the team as a whole.

It's not easy. I've had very low performing employees in my team but I'm still responsible for the productivity of the team. My management isn't cutting me any slack just because I have a low performer in the team. If the employee is not doing the work then I must find a way to fill in the gaps until I can replace them. Usually that means I get to do all their work and all my work until a replacement is hired.