Is it okay to restructure a literature review to fit a broad topic?
The answer to your title question, “is it okay to restructure a literature review...” is yes. There is no one uniform way that literature reviews must be written. What is important is to make sure that your literature review does its job, which is to do a comprehensive review of the publications on a particular topic.

The only worry with the structure that you propose is the ability to do a completely comprehensive review (which is a difficulty in writing any given literature review, but is especially troublesome in your topic). By simply discussing papers and not cross referencing them within topical discussions, your literature review turns into a data-dump instead of a review. It is not necessarily bad to have a broad topic, nor is it bad to discuss and “rinse and repeat” through several papers, but it is essential that your review is well-structured and does not arbitrarily choose the pieces it is reviewing.

Restructuring is fine, but do not compromise the quality of the review because the topic is broad.