Earlier quoted context omitted.
A counterargument that I've heard to abbreviated forms of this argument runs like, "God gave us the ability to feel lust and envy, as well, but that doesn't mean that He intends us to follow through with fornication and coveting, and we know this because He told us so in His inerrant Word..." ;)
Good points... I'd counter-argue something like: Lust is a variation on an emotion that is necessary to truly be close to God, known as rapture. Lust is simply the profane version of it. We may misuse any of the gifts God gave us, but that doesn't mean that their intended purpose isn't to bring us closer to him.
The advantage is that, if there is any claim to rationality in your opponent's view, you can use it to build a bridge to alternate viewpoints that they'd never normally consider. It can be very persuasive.
The downside is that this persuasiveness can be so strong as to feel invasive. That can provoke an angry reaction; in some countries it could endanger your life. There's a reason that several religions prescribe harsh punishment for apostates: someone who has left a religion knows enough about it (and about what they see as its shortcomings) to be dangerously good at 'leading others astray'.
In addition, by arguing from their axioms you are implicitly accepting large parts of their viewpoint which they can then use against you. For example, any sufficiently persuasive argument against Christianity from a Christian viewpoint can be met with "The devil can cite Scripture for his purpose." Why should they trust someone who seems to acknowledge Christianity as true, only to argue against it? Surely only someone on the side of the devil would fight God while acknowledging his existence.
And once they've labeled you as being on the side of devil, the more persuasively you argue, the more sure they'll be that they're right ... and that you're just deliberately lying to lead them astray.