  We continue our previous work to prove that for any non-minimal ruled surface
$(M,\omega)$, the stability under symplectic deformations of $\pi_0, \pi_1$ of
$Symp(M,\omega)$ is guided by embedded $J$-holomorphic curves. Further, we
prove that for any fixed sizes blowups, when the area ratio $\mu$ between the
section and fiber goes to infinity, there is a topological colimit of
$Symp(M,\omega_{\mu}).$ Moreover, when the blowup sizes are all equal to half
the area of the fiber class, we give a topological model of the colimit which
induces non-trivial symplectic mapping classes in $Symp(M,\omega) \cap \rm
Diff_0(M),$ where $\rm Diff_0(M)$ is the identity component of the
diffeomorphism group. These mapping classes are not Dehn twists along
Lagrangian spheres.
