Hey, bit late to the game here so maybe OP has figured a solution. My experience with space savers/steelies on a car with alloys is to be careful with wheel bolts. You might want a set of shorter wheel bolts as the longer alloy wheel bolts may cause damage to the hub, also the correct length of bolts definitely safer. Otherwise I prefer to ditch any original tools in favour of a hydraulic jack (bottle or trolley), breaker bar and correct sized sockets (remember some alloys have deep bolts so either an extension or longer sockets may be needed), all of this can be heavy but so much faster and safer especially if you're at the side of the road. Personally also carry a torque wrench because of my penchant for snapping bolts, but that's totally optional so long as you are careful.
Also if you choose to go with the typical OEM tool kit, one thing that they never pack is a wheel block/chock, but strongly recommended for safety.