Dearborn MI has a new (3 / 4 year old?) Intermodal Station that is VERY nice. Nice indoor waiting area (complete with a small steam locomotive on display!). Adjacent to the parking lot is a 24 hour Tim Hortons if you need your doughnuts or coffee. Taxis do hang around the station at train time.
I've never used Uber in Dearborn so I can't comment on that specifically. (I would guess it would be very easy).
I'm a huge fan of the Henry Ford Museum and have taken Amtrak to Dearborn several times to visit. There is a Comfort Inn almost right next door to the Amtrak station that has a free shuttle to Henry Ford, or it's a moderate walking distance. Most hotels in the area have shuttles to Henry Ford, and I would guess most would pick you up at the train station.
Also.. Westborn Market is on the corner just a block or so from the train station. Local grocery store with alot of ready to eat food (hot deli, pre-made salads) etc. They have alot of local produce and baked goods, and they are a rare LOCAL run (non-chain) store. Pick up some local Michigan Cherry juice!