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The complexified ${\Bbb Z}/2$-graded $C^\infty$-Algebraic Geometry aspect ofa superspace(-time) $\widehat{X}$ in Sec.\,1 of D(14.1) (arXiv:1808.05011[math.DG]) together with the Spin-Statistics Theorem in Quantum Field Theory,which requires fermionic components of a superfield be anticommuting, lead usto the notion of towered superspace(-time) $\widehat{X}^{\widehat{\boxplus}}$and the built-in purely even physics sector $X^{\mbox{physics}}$ from$\widehat{X}^{\widehat{\boxplus}}$. We use this to reproduce the $d=3+1$, $N=1$Wess-Zumino model and the $d=3+1$, $N=1$ supersymmetric $U(1)$ gauge theorywith matter --- as in, e.g., Chap.\,V and Chap.\,VI \& part of Chap.\,VII ofthe classical Supersymmetry \& Supergravity textbook by Julius Wess andJonathan Bagger --- and, hence, recast physicists' two most basicsupersymmetric quantum field theories solidly into the realm of (complexified${\Bbb Z}/2$-graded) $C^\infty$-Algebraic Geometry. Some traditionaldifferential geometers' ways of understanding supersymmetric quantum fieldtheories are incorporated into the notion of apurge-evaluation/index-contracting map ${\calP}:C^\infty(X^{\mbox{physics}})\rightarrow C^\infty(\widehat{X})$ in thesetting. This completes for the current case a $C^\infty$-Algebraic Geometrylanguage we sought for in D(14.1), footnote 2, that can directly link to thestudy of supersymmetry in particle physics. Once generalized to the nonabeliancase in all dimensions and extended $N\ge 2$, this prepares us for afundamental (as opposed to solitonic) description of super D-branes parallel toRamond-Neveu-Schwarz fundamental superstrings

Physicists' $d=3+1$, $N=1$ superspace-time and supersymmetric QFTs from  a tower construction in complexified ${\Bbb Z}/2$-graded $C^\infty$-Algebraic  Geometry and a purge-evaluation/index-contracting map