I am an engineer as well, I agree with what most have said, which is "you need an engineer"
The multi-level part should be fairly straight forward. We had essentially what you are looking for in our old house where the actual garage was supported by poured in place concrete walls on two sides and structrual steel and 3 x 4" diam columns, on the other two. The area below was then used as the shop and we had a seperate entry on the lower level. This was not substantially more expensive than pouring 4 concrete walls, filling the void and pouring a slab on top, and we got 500 extra square feet of space.
The "elevator" will be the hard and expensive part in my estimation. My vision for the least expensive option would be if the space is deep enough to have the building essentially 2 cars deep. Then, build the upper level with the front part paved and rated for vehicles, and the back have conventionally framed (wood), and build a space in the wood-framed floor for the 4 post lift. The remainder of the wood framed floor could be machine shop / man cave / whatever, then the entire lower level would be concrete floor on grade and rated for vehicles.
This option is entierly reasonable and could be built with readily avaliable materials, but you absoloutly need a professionally engineer to do the drawings and load calculations. Not a place to cut corners!