Since git 1.6.3 git rebase has --committer-date-is-author-date for this purpose.
git rebase --committer-date-is-author-date
Original answer:
There's no easy way to set the committer dates (edit: but see "edit 2" below).  The author dates are easy to adjust (at commit time) since --date will let you specify each one as you go.
The environment variable GIT_COMMITTER_DATE can be used to force a different time stamp at the time you make the commit.  Note, however, that you'd need to adjust this for each commit you "replay".  The resulting new commit will have a different SHA-1 (because you've changed some bits in it, namely, the committer date field), which means you must redo all its descendent commits.
This is what git filter-branch does (re-create some, many, or all commits with changes made along the way, keeping a mapping from old SHA-1 IDs to new SHA-1 IDs and adjusting the parents of even-otherwise-untouched commit copies so that the "new" DAG of new SHA-1 IDs matches the "old" DAG in every possible way, i.e., in every way except for SHA-1 IDs and any other changes made by your filter(s)).
In other words, to do this, you must use git filter-branch to rewrite history, with all that this implies.  [Edit: you can literally do it without git filter-branch, e.g., by doing it in git rebase -i instead, but the effect is the same.]
Edit 2: as eis noted in a comment (since removed), git rebase has --committer-date-is-author-date for this purpose.  It still does the same history rewriting, but it's a lot more convenient than doing it with the raw git filter-branch command.