Well, the Datsun would probably get a Nissan KA24DE 4 banger from a 240SX with a FS5W71 5 speed out of a mid 70's Z car, or a SR20DE or SR20DET from a JDM Nissan Silvia/180sx, with the 6 speed trans from a S15 Silvia preferred over the FS5W71C trans from the earlier S13 and S14 models. The Mini would get a Honda D16Z6 from a Civic EX, but with an MSD box driving the ignition, an RPM switch controlling the VTEC and a set of side draft carburetors off a motorcycle for fuel. Either that, or an ITB setup run by a Megasquirt EMS. As a matter of fact, the Nissan would have a similar setup as the Nissan ECU will not allow the car to drive with the VSS disconnected, and there is no easy way around that without using a BMW differential center section off a E30 3 series that has the VSS built in to the pumpkin. That requires custom half shafts, and is a big mess. The 510 also allows the use of the R160 diff center from a WRX or other Subaru, as Fuji Heavy Industries made the R160 for Datsun, and also has Subaru as part of it's holdings ( or did). I could also upgrade to a R180 or R200 from a Z car or a 240sx as well, and any of them is junkyard findable with a LSD, even if it is just a viscous unit.
Also, you don't want too small of an engine, as it will not provde you with good economy. The 355 in my car makes 3x as much HP and 2x as much torque as the engine it replaced, but it is better on gas than the old V6.