"As a process improvement specialist, it's your job to evaluate current practices and streamline processes to better achieve company objectives. In preparation for an interview, come ready to discuss examples of how your contributions in past jobs helped make measurable improvements to a team or product. Make sure to highlight your analytical skills and teamwork abilities."
Explain a situation where you had to navigate a difficult political landscape.
I explained some issues on my current project.
I described my situation when I first entered my last job. The established members of my team weren't very receptive to new authority but I was able to show them the respect and support that they needed in order to gain their trust and make a great work environment.
Stick to the FACTS.