I hiked southbound in 2005. I carried an UL setup and found that 90% of hikers also did.
–ULA P1 pack, WM Pod 30 sleeping bag, Rainshield jacket, railriders eco pants and shirt (they served me very well for the saw grass that cut everyone else up and the stinging nettles, bugs, sun, etc), basically the same that I carried for the PCT, CT, NZ, etc
–aqua mira, as a bandana will filter out most floaties. The bad water hype is overblown for the trail. There are definitely gross sources, but overall it is on par with what you would find on the PCT. I may have carried a liter more at times when the next source could be questionable in regards to quality, as this allowed me to sometimes just skip it entirely.
–I didn't carry a GPS, but I'm pretty good at map and compass. the majority of people I know who carried one got lost more than those who didn't–those without tended to pay more attention to the map as they hiked along. I got 'misplaced' 6 times on the trip, none for longer than 1 hr at a time.
–Wolf guide and Ley's maps. Both are a necessity in my opinion.
–I carried a 30 degree top-bag with a Montbell UL Inner jacket. My wife carried a 20 degree quilt and carried the same jacket, but changed to her WM Flight jacket for Glacier and then again in CO. Other than that, everything was identical to what we carried for the other long trails.
–We had previously hiked the CT, so we skipped from Silverthorne to Silverton and that gave us a cushion to stay in front of the snow. It was a good decision–but we found out that we were then the guinea pigs for the other hikers as to what NM would be like.
–alcohol stove. We carried a Brasslite Duo for it's simmer function. Alcohol is the way to go for the CDT as heet is readily available in most places, esbit and white gas aren't.
–resupply was about half maildrop, half store bought. Just like any other long hike.
My wife's irreverant journal: http://www.trailjournals.com/entry.cfm?trailname=2918
edit: I just read that the someone posted that they didn't have any rain in NM while southbound. We by far had the worst weather in NM (we finished Oct. 19). Arroyos flooded and were 60' across, we had to did trenches around our shelter to redirect the streams that were created by the incredible rain, tent stakes 'melted' out of the sand due to the rain…etc. It was unreal at times, so you can't assume that NM is dry. Those arroyos are there for a reason.