Yes, they are.
But superposition of spin states is only available to "unaligned" electrons; as soon as you measure spin, or as soon as two electrons pair up somehow (not necessarily in an atomic orbital), the spins are determined.
Bingo.
An electron will exhibit both spins simultaneously, because of the wave distribution of the statistical averages of it's possible states, so both a spin up and spin down are superpositioned (or layered or even fused) together, that is, until a disturbance comes along, namely a collapse in the wave function of probability.
That's all the wave function is, is a wave of possibilities, not actualities as of yet.
Now i need to go.