A bit of an update from when this was a hot topic a few months ago.
It looks like the chap who started the petition is being given some air time at a council meeting next week
Cycling Weekly article with a few details here:
http://www.cyclingweekly.co.uk/news/latest-news/surrey-county-council-debate-banning-cycling-a24-theres-adjacent-cycle-path-297763
Agenda for Council Meeting here :
https://mycouncil.surreycc.gov.uk/documents/g4323/Agenda%20frontsheet%20Wednesday%2009-Nov-2016%2010.30%20Planning%20and%20Regulatory%20Committee.pdf?T=0 (although there is no mention of this specific petition)