 McCain then announced plans to reveal his running mate the day following the conclusion of the Democratic National Convention, and just a few days before the start of the Republican National Convention.During the running mate deliberations, McCain had favored Joe Lieberman, who shared his romantic sense of righteousness and honor.But the opposition from social conservatives, who objected to Lieberman's pro-choice views, was too strong, and a Lieberman pick might have caused a floor fight at the convention.