stick their fingers in the dyke’s many holes.啥意思

http://www.bagu.cc/
The presidents of both countries agree on a partial solution. George Bush and Vicente Fox would like to regularise the papers of many of those illegals already working in the United States. But a potent nativist strain in Mr Bush’s Republican Party has kept this idea from making any progress. Mr Chertoff’s wall-builders, guards and judges will be left trying to stick their fingers in the dyke’s many holes. The only real solution is more economic development in Mexico, but that is a long-term prospect.

中的 Mr Chertoff’s wall-builders, guards and judges will be left trying to stick their fingers in the dyke’s many holes. 是啥意思？