Reb Eliezer:
I think Joseph addressed well that AHS is not relevant here.
Regarding the Mahara”M Schick (from the Chasam Sofer) that you quoted, though, he is very obviously NOT discussing voting in Zionist elections because he died close to a century before the Zionist state was even founded.
Furthermore, his sevara there obviously has zero to do with Zionist elections. First of all, much of Klal Yisrael, B”H, lives outside of Zionist rule. Whereas in “biblical” Egypt, it was everyone.
In addition, Reshaim voting in Zionist elections vs. liHavdil, tzaddikim who do not vote, has nothing to do with the Mahara”M Schick (from the Chasam Sofer) discussing having children and literally keeping Klal Yisrael going to the next generation.
In other words, regardless of who does and does not vote in Zionist elections, Klal Yisrael will definitely continue to the next generation, ad beas goel tzedek BB”A.