How do you know its wifi taking your juice? I leave wifi on. At work I use 4g. When I get home I'm connected wifi. At the end of the day yesterday with moderate use I was at 55%. The battery life on this phone is outstanding. I wouldn't worry about the wifi.
I've only ever seen claims that WiFi takes significant amounts of battery. I've never seen anyone actually show that it does. Mine only ever shows up as 2-3% of my battery usage. My guess is that in older phones the WiFi modules were much less efficient and used up more battery and the advice to turn them off stuck even though their efficiency is much better now.
I haven't seen anything super specific about what the contextual processor does, but it sounds like it runs the sensors in the phone. That means that WiFi, Bluetooth and location services are probably being run off the generic computing cores. That means minimal battery savings from those functions over most other phones.
What's also worth looking into is your account syncing. That will be done with the generic processing cores as well. You can use something like Llama or Tasker (the former being more battery efficient, easier to use and free and the latter begin much more powerful, harder to use and costs money) and Synker to choose exactly what and when your accounts get synced. I'm controlling that on my S4 (Gmail every 15 minutes, everything else every hour), I have WiFi and GPS on all the time, all Google Now cards on and all location services on and I lose about 2% per hour while idle. I'd suspect the Moto X could do at least that well. You'll probably have to do some digging with apps like GSam and Wakelock Detector to see exactly what is using your battery, though.
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