Here, courtesy of the latest British Social Attitudes survey (published last year) is the answer:

What is notable is that whilst overwhelming numbers agree that “the income gap is too large”, and have consistently said so over the last 20 and more years, two of the possible routes to closing the gap have consistently fallen in popularity, namely using taxes or benefits.

Instead, it is policies such as providing better educational opportunities for the least well off (pupil premium anyone?) which best fit what the public says it wants although, as other evidence shows, the case for education needs to be made and can’t just be assumed by default.