Cody,
Mineral spirits, or anything petroleum based, is the WORSE thing to use on a fresh block, especially on the bores. The best thing to use is dishwashing soap (such as Dawn) and hot water. Use a toilet brush to scrub the bores till they are clean enough to lick. Same with the rest of the block. Then blow it totally dry with air. If it is going to sit for a while before you put it together, wipe some clean oil on the bores with a lint free cloth and cover it up. If you are going to paint the block, do it as soon as you are finished drying it off, that way there is no oil from assembly etc to keep the paint from sticking.
As far as the crank goes...soap and water again or brake cleaner. The brake cleaner does not leave any residue and dries off good. Make sure and run some brushes or pipe cleaners through all the oil holes. No matter how clean it looks from the machine shop...believe me it is still filthy.
From the Hastings web site: "The single most critical factor of any cylinder refinishing job is the cleaning of that cylinder after the honing operation.
It can be stated, pistons, rings, and cylinder bores will forgive slight variations in roughness, cross hatch angle, etc. No engine component will tolerate dirt!
Honing cylinders leaves two types of "dirt" on the cylinder wall, honing stone residue, and cast iron dust. If not removed before the engine is reassembled, the world’s finest lapping compound is waiting to destroy all the hard work of assembly the instant the engine is started.
Proper cylinder cleaning consists of a thorough scrubbing of the block with hot, soapy water taking care to clean the surface under the cylinder facing the crankcase. Rinse with hot water, dry, and lightly oil to prevent rust."
Hope this helps,