Rep. Anthony Weiner’s resignation was cheered by New York Republicans. Now comes the hard part: picking up the seat. Gov. Andrew Cuomo, a Democrat, will likely call for a special election. If history is any guide, it could be a bloody, three-party brawl. In New York, GOP county committees select the nominee. The practice has caused stumbles. Upstate, Republicans have lost three special House races since 2009. Much of the mess in those contests was caused by friction between the party brass and conservative activists. Untapped candidates became third-party insurgents. Scores of Republicans, fed up with the closed-door process, stayed...