His students generally defend him vociferously against the conspiracy theories. But his students' book do agree with Shadia Drury's criticisms in certain respects. They agree, for example, that he juxtaposed ancient and modern methods of handling philosophy, and that he thought great philosophers wrote esoterically.
Also, Straussians disagree on whether the founding principles of America should be respected. Was the founding of the US an "ancient" or a "modern" event? If it's the latter, that means Strauss fled Nazi Germany only to be secretly repulsed by the modernity of the liberal country that welcomed him.
Straussianism has been in the air, in any case, so it's at least as interesting as the question of what exactly Leo Strauss believed. Movements can take on a separate life from that of their founder. Just look at Christianity.