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If you want to do it, keep this in mind: It won't hurt anything server-side to remove that mark-up, but it will cause you some additional hassles: Because if you want to continue to work with the files within Dreamweaver with the pages attached to their template, you have to make sure you keep a local copy of your site with the Dreamweaver markup, and export a detached-template copy to upload to your server.
Is there any benefit to this, as in moving the rest of the code up?
You need to check and make sure the template has not placed any of the template markup (those comment tags) before the DOCTYPE declaration in the template. If it has, and you do not disconnect the template to remove that markup, certain browsers will kick into Quirks mode (Ie6 and FF, namely), potentially killing any CSS-P on your site.
Yet another reason to hand-code your html. :)
(If you don't use css-p, this probably isn't much of a concern. Likewise, if the template doesn't put and markup before the DOCTYPe, you're fine leaving it alone.)