https://m.imgur.com/a/qyVHD
Feel free to look at my album. I have a decent collection, and I've actually gone the route of putting everything in binders: cards, dials, and ship tokens.
Having done it, the only recommendation I would give is to only organize the dials within a binder. The cards become far too great of a hassle to organize once your collection grows. Every addition requires far too much effort to insert new content between your current collection. Ship bases, while they look nice inside a binder, are a hassle to take out of a page when it's time to play. Put the cards in a cardboard card box and separate the ships and factions with paper dividers. I've been toying with putting the ship tokens with the cards within their respective dividers, and I'll probably do that when 2.0 launches.
If you do want to go the route of all sleeves, or even if you just want to sleeve the dials like me that binder won't work. The dial pages are too wide to fit within that binder, which was a major disappointment to me. They will end up extending about a third of an inch outside of the zipper when you try to close it, rendering it unviable. I had to end up going with a Five Star brand messenger bag to fit them.
Considering 2.0 is coming out with a medium class ships, I I would even more strongly dissuade you from going the route of binders for ship tiles. However, if you would like to go this route, the correct size binder sheets for the small ship tokens would be 1.5" x 1.5" slotted coin pages, and large ships fit within 3.5" x 3.5" slotted photo pages. The dials belong best within 2" x 2" storage pages with flaps (pictured in the album).
I think I'm going to abandon the binders in 2.0 entirely and just combine ship tokens and dials with the cards, with a single column cardboard card box per faction.