I can only speak from my own personal experience.
I was in the American SSPX seminary for 3 years plus 1 semester.
We learned all the truth about the Jews, mostly from one professor -- Bishop Williamson.
I was blessed to imbibe his wisdom for 3 years.
I wouldn't say that every SSPX priest is like Bishop Williamson, unfortunately. Some don't say anything one way or the other about the Jews, so one tends to give them the benefit of the doubt.
I can say with confidence that it seems "they" are looking for a different kind of seminarian (and hence, a different kind of priest) post-Bishop Williamson. They are looking for less fiery, less eccentric, less "choleric" or leader-type individuals. That is my personal experience and opinion. Take it for what it's worth.
Matthew
Matthew, your first hand experience is much more valuable to understanding this confusion than all of our speculations, as it speaks directly to facts. I do agree with you, I think that they seek, dare I say it, candidates with a more "modern" generalized outlook who will in turn be more accepting of the "way that things are", and the way that they are done today.