Agreed.
First, we would design industrial equipment to jumpstart our defenses. Like the ostwald reactor, and a bessmer steel reactor.
The dwarves only need know how to operate these devices at first. (Much like the millions of people who use computers, but could never build one.)
Once the infrastructure to sustain the fortress is in place, people like weird will have free time.
This is when "apprentice testing" gets underway, and the next generation of scientists and technologists get chosen and trained.
By instilling a "culture" with the education, (again, like with the masons), you can effectively control the information. Really advanced and dangerous shit, like nuclear physics, would be witheld until suitable profiling of the aspiring student could be done.
Our culture would prohibit the release of knowledge outside of the university. This is much like the less known side of the oath of hippocrates: don't teach any medicine to a non-doctor.
Violators would be punished. Severely.
We would train anyone willing to agree to our terms, and who passed our intelligence tests... but they would have to become members of our order, and renounce loyalties to outside politics.
Uncontrolled release of our knowledge would without question, destroy their world.
Part of the culture we would instill, would be one of nonaggression, due to the extreme nature of the knowledge. Creation of WMDs would be a capital offense. The knowledge of advanced tech should be employed to benefit sentient life, not to subjugate ad enslave it.
Defensive weapons are fine. Deadly super weapons would be told about and explained, but only as a cautionary tale to inform that we have been there, and it was bad. We refuse to do it, and we refuse to tell you how to do it, if we even suspect that you be tempted to do it.
The culture wouldn't be about dominance or political control, it would be about proper and ethical use of knowledge.
Also... some of us are functionally immortal as long as we don't get offed. Myself, eric, and hugo, for example. 2 necros, and a dragon. No set expiration date. We could ensure that the school never deviates from its moral obligations for political non-involvement.