Scrum is not really the problem that you are showing. Most development methodologies work, even waterfall, as much as we like to bash it, works. Scrum does make you concentrate a little more on the important things, but it won't stop people from making bad decisions like not really following the process.
The system is pretty simple at its core.
See the problem.
Define what done is.
Create a series of tasks that will get you to done.
Estimate those tasks.
Select enough of those so that you can get something done in a short period of time.
Complete the tasks.
Rinse and repeat.
OK admittedly these steps are simplified, and I haven't thrown in a scrum master and a customer. But the point is that the framework is just a basic time management strategy. If the people in your system are chaotic and not good at getting things done then scrum really won't help them.
