That's pretty much how I went about it when I made my Uranium Power mod. However it made a lot more sense to use chemical plants rather than a specialised centrifuge building.

There were a few core problems that I couldn't solve, and I eventually walked off in frustration.

During the enrichment ...

For mining uranium, something similar and familiar could be done, similar to how uranium was mined in the early Atomic Age: Strip-mine the ore and process it using thermochemical methods, such as the Ames Process. AKA, mine it and throw it in a furnace, get uranium metal. A more modern method ...