(1) Tell me, what could be simpler than applying the compound and polishing as described in the article? With that method you would be lightly lapping the two parts to each other, just the lightest way, removing any residual grittiness from high spots. You want to preserve the sharp edge of the sear surfaces, not round them off.
The name for the compounds used was given in the article, at the top. One is ordinary Dupont #7 (go to an auto shop, they know what it is), the other is Kit Scratch-out. Flitz would also be OK. These are very fine compounds.
Follow the instructions, which are very KISS, and you will have no problems.
(2) What I don't want you to do is deviate from the instructions, then complain about whatever, and I have to come back and say, OK, toss out $40 worth of parts and buy new ones. I want you to be successful the first time. I want you to go to the range and say to yourself, "Hey, cool! And I did it myself." I want you to have a safe, smoothly functioning firearm. And enjoy using it.
(3) And before getting out the stones and Dremel (which should never be within 10' of an AR trigger sear surface!) if you want a better trigger job than this one, buy an aftermarket trigger assembly from JARD, JP, RRA, etc.
The stock AR15 trigger setup has some inherent limitations. It used to be the "common wisdom" that a good trigger job could not be done on an AR15. The geometry of the parts is, in full M16 version, to allow functioning in both semi and full auto modes. The sear surfaces are very close to the pivot point of the hammer, and due to leverage, the forces on the hammer and trigger sear surfaces are very high. Not only that, those areas are surface hardened only. It is easy to polish or stone right through the surface hardening. And some guys want to change the basic angles there, and run into some safety issues. So, this is why I say, if you want a better trigger job than what is described in the article, buy an aftermarket setup.
Would any well experienced AR mechanics please correct me if you think I am wrong here? Your comments are welcome.