A 60 day MC even if you were doing it by the book is not a wise thing without being prepared or really understanding how fasting works. It's even less of a good idea after you've starved yourself for 30 days depleating your reserves and continuing even that by your own account you are feeling "weak and faint" That should not be the case after 30 days of the MC so take that as a warning that your system needs to be replenished.
I have done over a dozen 40 day MCs so I am quite familiar with the stages one goes through and at 30 days I'm ususally climbing the walls will all the energy I have. You will not be missing out on anything by going to juices at this stage you would be actually doing the right thing that could prevent you from actually hurting yourself and you will continue to loose weight and detox at the same time.