The symplectomorphism groups $\operatorname{Symp}(M, \omega)$ of ruled surfaces have been started by Gromov, McDuff, and Abreu, etc, using J-holomorphic techniques. For rational ruled surfaces, the topological structure of $\operatorname{Symp}(M, \omega)$ is better understood, while for irrational cases our only knowledge is for minimal ruled surfaces. In this talk, we apply the J-inflation techniques of Anjos-Li-Li-Pinsonnault to irrational non-minimal ruled surfaces and prove a stability result for $\operatorname{Symp}(M, \omega)$. As an application, we find symplectic mapping classes that are smoothly but not symplectically isotopic to identity. The talk is based on joint works with Olguta Buse.