Is it possible to establish a newer animal model completely based on Bioinformatics studies?
It is naïve to think that the extent of protein similarity is sufficient to determine what is the best animal model for a human disease. The physiology of the animal and the question of compensatory genes are all factors that contribute. 

Indeed, if the protein is functionally similar, it may be irrelevant if it has diverged in other regions. And, of course, there are ethical and cost considerations — the animals closest to humans are the apes!

I suggest you search for literature on the subject. It’s not my field, but Googling brought up this paper discussing models for kidney disease, and no doubt you could find much more yourself.