Most often when I encounter the term, it's being slinged against the left, but it seems frankly obvious to me that the right is involved even more heavily in identity politics if the term means anything at all. I often see the term confused with another recent gem that everyone loves, "regressive left".
I'll be frank here. I believe in an egalitarian society, even as I acknowledge that I do not live in one. I believe that government can do some good in the lives of its citizens if it's guided by those citizens and there are sufficient checks against the greed of capitalism, even as I'm a capitalist. I support universal healthcare. I support common-sense gun safety measures. I'm against most drug laws. I believe in a very strong separation between the government and religion, and I also believe in freedom to worship (or not) as one's conscience dictates.
These are just some of my beliefs, and I would say, also part of my identity. These are things that are important that I will stand for, defend, and so on. Given this, the Democrats are FAR more often in line with my views than Republicans, especially the GOP of the last 30 years or so.
So what's wrong with that? To my mind, the left is much more inclusive than the right. There are more people included within the democratic party that believe in a wider variety of things. If we look at the current GOP, it seems to me that their club is much more exclusive. You have to believe in an unfettered 2nd amendment, you have to be against abortion, you have to believe that lower taxes stimulate the economy. You have to believe that the less regulation the better. You have to believe that Christianity helped found the US and should be given preferential treatment by the government. I'm sure there's a small minority of people inside the GOP that might disagree with a tenet or two, but they're not in any position of power, or even of being vocal. Others in the GOP have terms for them, RINO and so on. So who is playing identity politics?