You said it'd have to change by a factor of 10, but your estimation of a GP's salary is off by at least a factor of 10 - $100/hour would be a much more reasonable estimate. A bit high, even. http://www.bls.gov/oes/current/oes291062.htm
This makes the assumption that home visits are the same level of productivity as office visits. For the elderly, infirm, those who work during normal doctors' office hours, etc., home visits might reach a population that isn't getting good care currently.