Agile in restructuring projects. Any hints and tipps?

I was hoping that someone with more experience in organisational restructuring would answer.

If you plan an evolutionary restructuring I think that Kanban is a good approach. (Kanban is based on initially respecting the existing roles and processes, visualising the bottlenecks/problems, and solving these in an evolutionary way.) Try to find a Kanban community and ask for advise.

If you plan a revolutionary restructuring, then the key is to collect and consider the inputs and possible fears of everyone affected by the change. I envision that it should be possible to use Scrum for this kind of project, but I have not done it myself and I have no advice to share.

There is a lot of hype about "agile". Think about "agile" as a practise to get work done through small manageable pieces (sprints) based on a prioritized workload ("Product backlog") which is owned by a so-called "product-owner". In a nutshell "agile" is a practise that strives for "early visibility of results", clear understanding of "Done" and a focused team not being interrupted by management. In such respect "agile" is a working practise that can be applied from my point of view to all industries, regardless that the roots are in software industry (Ken Schwaber). Do not think of agile as a methodology - it is a practise and at the end of the day - common sense. This way of working pushes for a lot more discipline during project.