  Context. Dynamical studies suggest that most circumbinary discs (CBDs) should
be coplanar. However, some theoretical works show that under certain conditions
a CBD can become polar, which means that its rotation vector is orthogonal with
respect to the binary orbital plane. Interestingly, very recent observations
show that polar CBDs exist in nature (e.g. HD 98800). Aims. We test the
predictions of CBD alignment around eccentric binaries based on linear theory.
In particular, we compare prograde and retrograde CBD configurations. Then,
assuming planets form in these systems, we thoroughly characterise the orbital
behaviour and stability of misaligned (P-type) particles. This is done for
massless and massive particles. Methods. The evolution of the CBD alignment for
various configurations was modelled through three-dimensional hydrodynamical
simulations. For the orbital characterisation and the analysis stability, we
relied on long-term N-body integrations and structure and chaos indicators,
such as $\Delta e$ and MEGNO. Results. We confirm previous analytical
predictions on CBD alignment, but find an unexpected symmetry breaking between
prograde and retrograde configurations. Therefore, the likelihood of becoming
polar for a highly misaligned CBD is higher than previously thought. Regarding
the stability of circumbinary P-type planets (also know as Tatooines), polar
orbits are stable over a wide range of binary parameters. In particular, for
binary eccentricities below 0.4 the orbits are stable for any value of the
binary mass ratio. In the absence of gas, planets with masses below
$10^{-5}\,M_{\odot}$ have negligible effects on the binary orbit. Finally, we
suggest that mildly eccentric equal-mass binaries should be searched for polar
Tatooines.
