Answers to this question will be determined by what anarchists mean by "politics" which is a weighty question unto itself. Some answers to that have been attempted here: http://anarchy101.org/324/is-anarchism-political
. To focus on the identity portion of the term:
Like dot, i tend to use the phrase as an unfavorable shorthand for certain approaches. These approaches tend to focus on a particular identity group to the (near) exclusion of other subjects for analysis, theory and practice. The epitome of identity political analysis views a specific form of oppression as the main oppression from which all others stem. It then becomes hard to arrive at coherent analysis of other forms of oppression. Even much of economic analysis can turn into identity politics in the form of fetishization of workers.
Of course, identity is important. First of all because it is socially enforced. Second because it is often internalized. For the foreseeable future people will continue to distinguish themselves based on all sorts of identity components, and our social experience will thus be informed by vast categories of wildly diverse individuals. There is useful information to be gleaned from the theorization about different identity groups to which people assign themselves or are assigned by others. There are tens of thousands of years of history based on identity concepts like Woman or Slave or Deviant. Even if it is desirable to move away from using such stock categories for the individuals that compose society, these concepts are highly embedded in the culture and are therefore important touchstones in any good analysis.
It is when we submit to essentialist thinking about these groups that we limit the potential for our own identity-creation. For my whole life i have taken it for granted that because i have certain sex characteristics, i am a man. Everyone i have ever encountered has treated me like a man (or boy), and yet there has always been some nagging doubt. It is only recently that i am able to express that, though i am easily categorizable biologically, that i have no affinity to any gender identity. Though i now understand this, i am still stuck in a society that wants to pigeon-hole me in the male gender. This is just as disconcerting coming from leftist feminists as from aggressive men.
So as an alternative to the extremes of identity politics and attempted identity-blindness i try to understand peoples' own self-identity constructions.