  In this work we obtain an anisotropic neutron star solution by gravitational
decoupling starting from a perfect fluid configuration which has been used to
model the compact object PSR J0348+0432. Additionally, we consider the same
solution to model the Binary Pulsar SAX J1808.4-3658 and X-ray Binaries Her X-1
and Cen X-3 ones. We study the acceptability conditions and obtain that the
MGD--deformed solution obey the same physical requirements as its isotropic
counterpart. Finally, we conclude that the most stable solutions, according to
the adiabatic index and gravitational cracking criterion, are those with the
smallest compactness parameters, namely SAX J1808.4-3658 and Her X-1.
