Some Mujahedin became Al Qaeda, not all. To say that the Mujahedin were the forerunners of Al Qaeda is at best syntactically dubious, at worst intellectually dishonest.
His vision of a bottom-up, democratic socialism (not State socialism) is the tradition I stand in.
I hope you don't oppress prepositions like that in your formal writing. In any case, I must admit I am not terribly familiar with Trotskij's doctrine -- democracy is a form of government, and any government that exists within a land of fixed borders, has a permanent population, and is capable of international relations is, by definition, a state. For socialism to exist democratically, it must be enforced -- and socialism on the national scale must be enforced -- by a state, correct? Where does Trotskij's reasoning deviate from mine?
(Please forgive the un-Western spelling of 'Trotskij.' I just learned the Cyrillic spelling today, and my closer transliteration will help me remember it.)