Dear largebank, you pose a serious and important question.  Certainly conditions are very difficult within a company that has undergone a reduction in staff of about 2,500 individuals.  There is no easy answer but I would consider the following strategies:

1.  Increase communications at all levels of the company to provide reassurance that the business goals are being achieved and that no further changes will be made without clear advance notice to the people involved.

2.  Make stress counseling available to all.

3.  Increase the visibility and availability of management within the operating ranks.  They need to own the problems and the solutions.

4.  Take steps to insure that people have the training and skills necessary to do their (new) jobs.

5.  Teach managers and staff how to deal with change.

6.  Actively solicit feedback from staff and take appropriate positive action on the findings.

To be rather blunt, it is my view that management has the responsibly to do everything it can to avoid such situations in the first place.  Downsizing may be a symptom of inadequate management strategy.  However when conditions provide no alternative it is their responsibility to mediate the damage as well as possible with strategies such as the above.