Thank you for the great tutorial, the iFixit battery and tools worked wonderfully.
I risked it and removed the battery without removing any of the components. I did remove the SSD, just in case. I can report great success although you have to be careful and not poor the glue remover like a maniac, I'm not liable if you fubar your MBP.
I ended up using about 20% of the remover liquid, 85% of which was used after the battery was removed, to remove the $&#@ glue… I used a sharp and flexible knife for the leftover glue.
I recommend pouring a few drops on the plastic card while you have it tucked under the battery, it will slowly melt the glue by capillarity. A few extra drops (3-5) and continue to push the plastic card slowly in a right to left motion.
Since I didn't remove any components, the whole job took about 30 minutes. The battery has to be calibrated, I recommend changing the power settings so it won't go to sleep during the calibration and use all the power it can use until dying…