Depends on how you define domination. Over the long run if trends continue the Amish will dominate through demography. I don't think the Amish are parasites since they don't take resources from the rest of us.
They are parasitic on our infrastructure, healthcare system, and military. Amish reap the benefits of modern day road construction methods to transport their trade goods, but could not themselves construct modern day roads. Depending on the branch of Amish, a significant number of their babies are born in modern-day hospitals, something they could not build themselves and which contributes to their successful birth rate.
For a moment lets assume there is some alien intelligent life on our galaxy which is older than us and that it have succeeded in creating super-intelligent self-modifying AI.
Then what set of values and/or goals it is plausible for it to have, given our current observations (I.e. that there is no evidence of it`s existence)?
Some examples:
It values non-interference with nature (some kind of hippie AI)
It values camouflage/stealth for it own defense/security purposes.
It just cares about exterminating their creators and nothing else.
Other thoughts?