Thank you for writing that out. Let me give some comments:
We never call ourselves "Trotskyite", which is considered derogatory by many. "Trots" is mainly a thing on revleft.
In my opinion this is too much centered on the person of Trotsky. Trotsky never considered himself to be a major school of thought. He just made some additions to Marxist theory, notably: the theory of permanent revolution and the transitional method. Both of which weren't exactly coming from him as a novelty, but he codified them and extended upon existing ideas.
In the post-USSR era, I don't think this is a defining feature of contemporary Trotskyists.
Be that as it may (and there are Trotskyists that follow a line of "state capitalism" instead), how is this important besides for historical discussions?
Perhaps this needs some theoretical discussion, but how many feudal societies do still exist anno 2009? Ok, we have Nepal, Bhutan and perhaps a few other insignificant countries, but the vast majority has developed a capitalist mode of production now. Of course, the point of the need of international revolution still stands.
In this sum up you introduce new terms, without explaining them, which is bad for any intro text. Also, it touches the somewhat deprecated features of the Trotskyist tradition without making the link to the contemporary context. You'll have to explain "Stalinism" for example in this post-USSR era.
Last but not least: why do we need an intro text?