Teams that come to a point where they must rebuild often have to weigh their costs against their gains for both the short term and the long term.
Very rarely can a team hoard coveted free agents from around the league and build a successful team. Daniel Snyder has tried this approach for the past decade in Washington and no good things have come of it. San Francisco is also guilty of this faulty logic but to a lesser extent. I will however say that every now and then a team can pull this off if they have the correct system to contain the chaos. I think we all can agree that the New York Jets are doing just fine.
Often times, the most successful rebuilding teams are those who build talent slowly through the draft and add free agents skeptically. Teams like the Colts, Saints, Eagles, and Giants build almost entirely slowly from the draft. Although all of these teams went through their own respective dark periods, they kept with their long term plans and it paid the dividends. The Patriots and Steelers have been doing this for about 15 years and have some of the deepest teams in terms of talent in the NFL.
My point is that we shouldn't care if the Devaney didn't go after Randy Moss, who is an extremely talented Wide Receiver and also a locker room nutcase. In the NFL, slow and steady wins the race. Stay with our plans of building through the draft and adding veteran leadership in the right dosage. So far this methodology has us on the right track. In our second year of rebuilding we have an extremely young but tough defense (currently ranked 9th in the NFL), our future franchise quarterback, a young and very promising offensive line, and a guy who is pretty descent running the ball.
I'll take my chances with out Randy Moss...