One way in which such orders are stopped is by careful litigation against hose parts of the orders that exceed the law.  This kind of litigation is usually handled by groups such as the ACLU, or other non-profits.  These nonprofits need funds to be able to carry their work.  People who support litigation against Trump's orders ought to be donating to groups that work on behalf of immigrant.
Another way is through advocacy. People ought to be contacting legislators at every level of government to gear up support for legislation to overturn specific parts of these orders.  To be successful, its necessary to advocate on both sides of the aisle.  For years now, polls have shown that wide margins of Americans advocate reform of out immigration laws.  Some of that reform could happen now, step by step.