Not sure the dripping wet hair would be an issue. I do at least one PT a week and use a lot of products with protein. When I do a second PT, I usually use one that isn't as strong--Elucence Extended Moisture Repair Treatment, Mozeke Carrot Protein Mask, Shescentit Okra Hair Repair. I also use the Mozeke, Shescentit or CJ Curl Fix as a leave in (also use protein sprays.)
Unless your hair is really damaged, I wouldn't do the CJ Protein Repair more then once a week. I only use jelly products, no gels with chemicals (like polyquats that build up on me.) When I do a PT, I spray my hair with water and then use the treatment, cover with a plastic shower cap and go about my business. Sometimes, I'll sit under my hard bonnet dryer for 10 minutes.
also, i am assuming you used the baby shampoo as a one-time clarifying shampoo. some brands of baby shampoo are very harsh to your hair, they just won't burn your eyes. i know johnson & johnson baby wash/shampoo has 3 different sulfates in it!!!!