As a professional historian, I must say you're wrong. Hap is even more wrong: I'm publishing books of stuff that hasn't been looked at for centuries. But back to why you're wrong:
The point isn't that "we shouldn't try to take lessons from history". People do that all the time. Hell, I do it when I argue current events/politics.
The point is, that if we study history as the search for lessons for the present, we end up doing a disservice to what happened in the past. The past and its circumstances are interesting on their own terms, and not merely as the platform for new arguments.
Moreover, your "Old History" hasn't really existed for over a century, but people still cite historical examples for debates. Moreover, these examples have a nasty feedback effect: think of how both right-wing and left-wing Americans are using Vietnam in their debates about Iraq, then study the period in American history (or better yet, ask those who remember the period): history is being perverted to serve an argument.
Likewise, there's no point, historically speaking, in praising or blaming past actors. They're all dead, and they did what they did -- you ain't gonna change that. Notions of shared responsibility, or cultural heritage, or whatever are social and political, not inherent to the study of history. That cuts both ways, including those who want to study "how the poor native americans dealt with the evil, oppressive Europeans": you can certainly study how Europeans and Native americans perceived each other, and treated each other, but all your complaining ain't gonna change the facts.
So, in short: someone who digs up the past looking for "lessons for the present" isn't an historian, but a rhetor. If you're really interested in the past, you'd study it for it's own sake.
Likewise, a guy who takes a woman out to dinner only to get laid isn't a lover, but a player. Ain't nothing wrong with being a player.
So it ain't "Old History" and "New History", but rather "Rhetoric" and "History".