Protein overload can definitely cause breakage because it causes your hair to be brittle and reduces its elasticity. I believe that whenever most ladies on the board do a protein treatment, they follow with a moisturizing conditioner. I would do a mositurizing DC to restore your moisture and follow that with daily moisture sealed with oil to restore your hairs elasticity.
However, based on that experience, I would not conclude that your hair does not like protein because all protein is not the same. Your hair may not need a strong protein like keratin. However, it may do well with a conditioner that has other lighter proteins like silk amino acids, wheat protein, milk protein, etc. All protein is not created equal so you just have to find the conditioner that gives you the type and dosage of protein that you need.
I agree with BlackPearl...I have found that Aubrey GPB gives me the right protein dosage. It may be worth a try. I always mix mine with a moisturizing conditioner though as Im natural so my hair doesnt require alot of protein.