GST fusion protein expression in Ecoli needs a lot of optimization. I have had problems in solubilization process. I use triton X-100 after the cell harvest. Is this detergent a good choice?

Do you know whether the protein is expressed in soluble form to begin with? Many proteins are expressed in insoluble form in inclusion bodies, and your best bet is to try and avoid this to begin with. One simple solution that has worked for us is to lower the expression temperature from 37°C to 30°C or even 25°C (need to let the cells grow longer, obviously). Also reportedly adding magnesium to the cells works. Finally, there are strains of E coli with chaperones built into them that supposedly help expression (e.g. "Origami") but I don't have any personal experience with them.

Minor point, but you may want to move this discussion to a different board (e.g. Biochemistry) since a GST fusion is not an Antibody (e.g. Fc) fusion protein.