The only way that a 'Dreamer' could 'rectify' the situation is to leave the United States for ten (10) years and then request re-admittance.

Since a "Dreamer" as defined by Obama  is someone who:

Came to the United States before their 16th birthday

Have lived continuously in the United States since June 15, 2007 (The last ten years)

Were under age 31 on June 15, 2012 (i.e., born on June 16, 1981 or after)

Were physically present in the United States on June 15, 2012, and at the time of making their request for consideration of deferred action with USCIS.

I don't see how you can make then 'legal' with that ten year requirement.