I think Lynn (Depleted) has some good things to say here! I don't know if I have ever met a "normal" person, and these days, I subscribe more to the "we are broken and in need of inner healing" idea.
Like Lynn, I am disabled. I have severe and painful Rheumatoid Arthriis, which is destroying my joints, and tendons, and will probably be damaging my organs soon, including heart, lungs, brain, kidneys, liver and skin. And if the disease doesn't get me, the powerful drugs will! I am on three cancer drugs. My best dream is that I will be able to stay on them till the day I die. I just injected two of these drugs today. This is my great day, because I know I am going to enter another week of feeling better than not being able to physically get out of bed. These meds often fail, one way or another, and I am out of new meds to try, so being on meds is a good thing, to me!
And having a chronic illness leads to severe depression. Been there, done that! But God has helped me tremendously, as I know he is helping you! Along my travels, I ended up in a health forum, with a lot people with bipolar disorder. I became friends with them. I saw how the ones on meds were stable, and relatively normal. I watched people go off their meds and go near psychotic, and never the insight to see what being "med free" was doing to them. I eventually started a private forum, and they have very kindly accepted me as their own. They have given me support for my RA, like people with RA have not done. Plus, they really understand depression. We share our hearts and lives with each other. One woman has terminal cancer, and she is the most honestly positive person in the group. What a gift from God she has been for us all! I am also a constant witness to the love of God in that forum, as many are not Christians, even atheists!
It sucks terribly to be young and have serious mental illness. But, I don't think right now, getting off meds should be the goal. If you are stable, why tempt fate to send you back to that terrible state of psychosis? I know God will help you through this. The Word of God is something you will always be able to trust, and God will change you and deal with you.
I hope you have been given counseling into the strategies for coping with your disease. I don't really know what they are, except for taking your meds and probably making sure you get enough sleep? I hope your doctor or therapist is helping you with this.
Have you seen "A Beautiful Mind"? It is the amazing journey of a man with paranoid schizophrenia, and yet, he comes up with some kind of mathematical theorem that changed the whole world of economics. (Not a mathematician myself!). Which goes to show, the unique talents and abilities you have, can still be used, in spite of the meds and disease.
Theologically, we live in a Fallen World. There is no perfect life or person. Even those with good health, will tell you, they have other issues. (Marriage, financial, lost loved ones, etc) But I do believe we have an Advocate and Comforter in the Holy Spirit. (John 16). He will lead us through the valleys of life, which we all have to cross. I like to think of life as a journey. We can walk down the broad road that leads to destruction, or we can fix our eyes on Jesus, and walk up the narrow road that leads to him. Another book you might like to read is Pilgrim's Progress by John Bunyan. It is an excellent book on this journey! And remember, we will be perfect one day. We will be "normal.' (Whatever that means! LOL) That will be when we see Jesus face to face (1 John 3:2; 1 Cor. 13:12) That is when either he returns, or we go to be with him!
You have made the right decision in turning to Christ. He will be your guide. Maybe he will heal you, or maybe he won't. Maybe he will teach you amazing things, because of your illness, not in spite of it. Here is a life verse God gave me, which helped me when I was at my worst.
"More than that, we rejoice in our suffering, knowing that suffering produces endurance, and endurance produces character and character produces hope. And hope does not put us to shame, because God's love has been poured out by the Holy Spirit who was given to us." Romans 5:3-5