Would it be possible to add a checkbox indicated that companies offer H1B visa sponsorship to Careers 2.0, in addition to those indicating telecommute jobs and jobs offering relocation?
While I think it's great if an employer adds this kind of info in their ad, I do not think visa sponsorship should be codified into a "yes/no" checkbox.
Everybody and their dog wants into the US on a H-1B visa. Few organizations are used to sponsoring visas and know how to handle the process - usually, they are huge businesses like Google and Microsoft. If they started marking their job offers with a "we do H1B" flag, they would likely start drawing more responses from unsuitable candidates.
Sponsoring a work visa is a huge effort on the employer's side as well as the employee's. Companies are often afraid of the insight they think they have to give to the INS about their everyday business dealings. (My immigration handbook encourages applicants to tell their prospective employers it's not that bad really.) They might be inclined to rethink their position if that perfect, super-awesome dream applicant walks in - but not for a
mediocrenormal one. Forcing employers to state a definite "yes" or "no" would unnecessarily limit everybody's options.