From what I've read the only law schools that really care about "softs" are Harvad, Yale, and Standford simply because they are so competitive. Even the other lower T14s don't care about softs that much. Not everyone can be a the student body president, after all.
Put in a little effort with the international students club regularly. It's good to show some depth and breadth in student activities. You don't need to commit to dozens of hours a week but it can show that you are someone who's from a different background and tries to help others. Obviously being a URM is a huge help.Generally, if you are still in school, law schools are interested in letters of rec from Professors, but it could help to have 1 LOR talking about how hard you've worked during school. The important part is to ask your boss or whoever writes the letter to talk about your capacity for success in law school. Something like "applicant works very hard here at work and in school, has been able to do so while being a good employee and keeping gpa up, has good organizational skills," whatever. After a while letters of rec read the same to adcomm members and they are only a soft factor, but every but helps and could be the difference between wait listed accepted and wait listed rejected at your dream schools.