Although Sajid Javid backed staying in the European Union he has not fought as passionately as Rudd for a soft Brexit. http://www.theneweuropean.co.uk/top-stories/who-is-sajid-javid-1-5497859
The prime minister apparently wants all the plus points of a soft Brexit, but she wants all this outside the customs union and single market. https://goo.gl/9xpg2T
Jeremy Corbyn seemed to embrace a "soft" Brexit position, staying as close as possible to the European Union after leaving the bloc but calling for a "comprehensive" deal http://nyti.ms/2ouxgCs