I can only provide scriptural proof from my scriptures. I can't imagine how I could possibly prove, without the aid of divine revelations, that the influence of God is at work in teaching us right from wrong.
Here's where my theology on the subject comes from, in part:
Book of Mormon, Moroni 7:16
For behold, the Spirit of Christ is given to every man, that he may know good from evil; ...
Doctrine and Covenants 88
6 He that ascended up on high, as also he descended below all things, in that he comprehended all things, that he might be in all and through all things, the light of truth;
7 Which truth shineth. This is the light of Christ. As also he is in the sun, and the light of the sun, and the power thereof by which it was made.
8 As also he is in the moon, and is the light of the moon, and the power thereof by which it was made;
9 As also the light of the stars, and the power thereof by which they were made;
10 And the earth also, and the power thereof, even the earth upon which you stand.
11 And the light which shineth, which giveth you light, is through him who enlighteneth your eyes, which is the same light that quickeneth your understandings;
12 Which light proceedeth forth from the presence of God to fill the immensity of space—
13 The light which is in all things, which giveth life to all things, which is the law by which all things are governed, even the power of God who sitteth upon his throne, who is in the bosom of eternity, who is in the midst of all things.