I do not think that is precise. You need logic in all matters of belief and jurisprudence (fiqh). The question is where the most explicit and immediate premises come from; are they scriptural, or based on the nature of the world around us? In fiqh they are always scriptural, i.e. based on the judgments (orders/prohibitions, etc.) that they contain. In belief issues, however, they are sometimes based on the world around us. Why? Because the premises for relying on scriptures must be from something other than the scripture, to avoid circular reasoning.
This means that the proofs of Aļļaah’s existence, some of His attributes, and the miracles of the Prophet (صلى الله عليه وسلم), and thus his prophethood (صلى الله عليه وسلم), have premises based on:
a) the essential nature of the world, such as the fact that it changes, and consists of parts that are intrinsically possible in existence, and therefore need a creator (see Foundations of The Religion."
b) on what is normally correlated, such as "touch fire -> get burned". It is through the normal we can recognize the extraordinary, i.e. miracles that prove prophethood. We know the splitting of the moon as a miracle of the Prophet Muĥammad (صلى الله عليه وسلم) because it never happened before or after him.
Note that the underlying premises (unlike the immediate and explicit) on any fiqh issue are not based on the scriptures, but also on these premises. This is because the establishment of the scriptures as being revealed from Aļļaah, and obligatory to follow, are based on these premises.
Logic is always needed, even if you are only dealing with proofs from the Qur’aan and the Sunnah. This is because logic is about making precise definitions and constructing proofs, whether they be constructed from premises that are taken from the revealed scriptures or not.
 An example of this would be if someone said, "I pray because Aļļaah orders me to, because it says so in His book, and I know this book tells me what Aļļaah orders, because the book tells me it is." To get out of this line of reasoning, you need to prove by other means than the book’s instructions that the book is really from Aļļaah. To do this you need to prove that Aļļaah exists, and that miracles prove prophethood, and that is the role of Kalaam/Belief Science.