  Kerr-Schild (KS) geometry of the rotating black-holes and spinning particles
is based on the associated with Kerr theorem twistor structure which is defined
by an analytic curve $F(Z)=0$ in the projective twistor space $Z \in CP^3 .$ On
the other hand, there is a complex Newman representation which describes the
source of Kerr-Newman solution as a "particle" propagating along a complex
world-line $X(\t)\in CM^4,$ and this world-line determines the parameters of
the Kerr generating function $F(Z).$ The complex world line is really a
world-sheet, $\t= t + i \sigma,$ and the Kerr source may be considered as a
complex Euclidean string extended in the imaginary time direction $\sigma$. The
Kerr twistor structure turns out to be adjoined to the Kerr complex string
source, forming a natural twistor-string construction similar to the
Nair-Witten twistor-string. We show that twistor polarization of the
Kerr-Newman solution may be matched with the {\it massless} solutions of the
Dirac equation, providing consistency of the Dirac-Kerr model of spinning
particle (electron). It allows us to extend the Nair-Witten concept on the
scattering of the gauge amplitudes in twistor space to include massive KS
particles.
