For question 1, I'd suggest looking up the combat patrol rules/restrictions - They can be downloaded from
here. Just a hint thought - don't allow it to be completely broken, and except for the change in
HQ and Troops, use the normal
FOC.
For question 2 - Radical and Puritanical Inquisitors are not purely chaos. Puritanical is very much obeying the letter of the law - the touch of the alien is wrong, even considering contacting or getting involved with psykers/chaos/aliens/heretics/whatever is wrong and those who do so, even unintentionally, should be purged and destroyed. These are typically the youngest and newest inquisitors.
Radicals are more relaxed in their outlook - they tend to have no problem using something against itself - so daemon weapons against daemons, alien technology, starting their own cults to subvert and then catch and kill heretics, and other such nefarious deeds. They tend to be the older, more experienced inquisitors, who have seen far too much. Have a read of the Eisenhorn trilogy for an example of an Ordos Xenos inquisitor who slowly falls from grace, where he was once a puritan, he slowly began to use chaos against the enemies of the Imperium, until his use became more and more overt, and other inquisitors start to hunt him down.
Also, there are no such thing as "normal" inquisitors. The benefits of being able to pretty much command as much of the Imperium's resources as you need at any one time is that you can do and act pretty much however you want. They can all be pretty much
Bunny Ear Lawyers as much as they want.