A very interesting question. But wouldn't a 2000 computer be pretty weak? I mean, Carlsen's tactics are probably superior to an engine of that strength. Maybe Magnus could do quite well with a 2700-2800 machine, to blunder-check.
For Magnus to be better, maybe 3000.
Houdini3 has a rating of about 3300 or so. Most of us can probably agree that Carlsen+3200Engine would be significantly better than Houdini3, while Carlsen+2000Engine would be inferior to Houdini3. A little thought shows that there must be an intermediate strength between 2000 and 3200 where Carlsen+Engine is about equal to Houdini3.
What do people guess the strength of that engine would be? And what strength of an engine do you think is needed for Carlsen to be significantly better?
I think the break-even point is probably roughly intermediate between 2000 and 3200 myself, as a tactical beast with mediocre positional understanding would complement the human perfectly but wouldn't actually be that successful against the best human players (e.g., GMs) alone.