So how do you overwhelm the system? Why not grant Social Security Disability Insurance to unemployed people (who are not disabled) after their unemployment insurance runs out. That ought to do it. Now, the Social Security Disability Insurance fund will go broke in 2016. Look up the Cloward-Piven Strategy when you get a moment.
Using SSDI to supplant unemployment insurance is not why the DI fund will be broke in two years. That was going to happen regardless. It is going broke because, except for Bush 43 nine years ago, no one in Washington is willing to face reality and fix it for future generations.