Everyone gets money for their schools and programs. Democrats and republicans do that as well for example and the system in Israel is set up even more soo like this.
Secular schools get $ for their schooling (something like 4 times the cost of a Religious school), why would it be a problem for Religious schools to also get $ for religious education (or the various educations that the parents want- National Religious and such as well). Everyone get's $ and its either you take or you dont have education. (or send children to school with Atheist and secular teachers) That's the system. And Arutz Sheva had article showing that they didn't/dont take more in proportion as the leftists usually accuse Haredim of doing.
Dude forget it, its a long history as well and at what times and what they did and didn't do at what times (different times as well when the party was good then bad, then good again and now perhaps back to bad).
My opinion- Shas was good at the beginning, it was good for them to stand up for impoverished Sefardim who were discriminated against. It also included Rav Yaakov Yosef ZTL who was very pro Eress Yisrael. Then they went bad, then good under for some time and on the local level promoting settling Eretz Yisrael (like in "East Jerusalem") and now unfortunately it will probably go leftist (and then either plunge in votes, or change their ways of thinking and policy or splitt.
+ Also perhaps they viewed and view the "cultural war" within Israel more important then the outside wars.