Perhaps, most importantly, ... is there any witness in the Old or New Testament scriptures (i.e. those which the entire church have accepted as inspired) ... where God confirmed His direction with a feeling?
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I would recommend that you, as well as all believers in Christ, ask yourself the following questions:
1. Assuming you believe in the reality and necessity of having a personal relationship with Jesus, do you believe God knows you as an individual and will speak to you personally?
2. Assuming the answer to the previous question is yes, how does He speak to you? Do you hear an audible voice? Do words come into your head? Do you get an idea, perhaps that you should call a friend in need or do something to help someone? Do you feel you have received an answer to your question? Do you just begin to understand something that you had previously not understood? etc.
3. Has He ever spoken to you in any of these or in other ways?
4. If the answer to that question is yes, think back and reflect on the experience. Did you feel anything at the time, and if so, what/how was it that you felt?
If your answer to question #1 is no (which I seriously doubt) then we have no common ground for understanding. If you have had experiences of this nature in communication with God, the perhaps you can get an inkling of what we're talking about when we refer to feelings and the confirmation of the Holy Ghost. We're not just talking about getting the Warm Fuzzies. And we don't believe we have a monopoly on communication with God, since we believe all of us are His children and as such are loved by Him.
We obviously have different views about whether or not there was an apostasy and thus a necessity for a restoration, about which we can agree to disagree. But think about the communication issue.
I would agree with you that God can and does speak to us in ways ... other than through the scriptures.
However ... we are commanded to test all things by scripture.
Unfortunately ... our hearts can lie to us ...Matthew 15:19 For out of the heart proceed evil thoughts, murders, adulteries, fornications, thefts, false witness, blasphemies: ...The basis of our faith is the scriptures ... which will never lie ...Romans 10:17 So then faith cometh by hearing, and hearing by the word of God.A feeling is, simply, too unreliable, ... to base one's entire faith upon.