Tottenham fans would like Levy to resign, they do not want him. If the fans demonstrate against the board (and more specifically against their chairman Levy) before and after homes games with banners and chants, Levy should resign. Manchester United were/are in the same position, they wanted the Glazers out but could not force them out.
Levy is a very big problem to Tottenham and this has been going on for a long time now. His only motive in the team seems to only be about how he can make profits off the team and not for the betterment of team and fans. It's been proven over time that Levy isn't interested in whether Tottenham wins trophy or not. I don't blame the fans if they want him out because it's them that's actually feeling the heat and banter that comes with it.