I will offer a different point of view here. First, I don't support reading a summary before you read the book. Any good book or story resists summary. Flannery O'Connor famously said, "I write a story because a statement would be insufficient." The tendency of a summary is to put a book in a box and oversimplify it.
Second, I'd like to defend confusion and mystery. There's absolutely nothing wrong with reading a book and being unsure what it was all about. That means you're encountering something truly new, something outside your comfort zone.
There are no easy answers to your question. The Intuitionist makes creative use of the science fiction or speculative fiction genre. The best of these books function as allegories. Like the parables in the Bible, they have a literal meaning but also a symbolic one.
Literally, the book is about elevator inspectors. Symbolically, it seems to suggest much more. One could read the split between the Intuitionists and the Empiricists as representing that between Liberals and Conservatives, or Faith and Reason, or a little bit of both. Clearly, race and gender are involved.
Some have suggested that the book is a kind of updated version of Ralph Ellison's Invisible Man. Like the main character in that book, Lila May wants more than anything else to be seen - seen for who she is, apart from her race and her gender.
Read the book a second time. Read Invisible Man. Trust your own instincts.