With Likud, yes. With Beiteinu, not so much. Beitenu is very hawkish but also very secular. The Russian-Israelis are big backers of Beiteinu. Beiteinu wants the Yeshiva boys to serve in the Army. They also want the Arabs to serve and to take a loyalty oath (or else leave). Equal rights, equal obligations.
“Beiteinu wants the Yeshiva boys to serve in the Army”
You are leaving the incorrect impression here about the political philosophy of yeshivot and their service in the army. There is a range of Yeshivot. The Religious Zionist Yeshivas are the backbone of the army produce the elite of the army. All of the students of their yeshivot serve in the army. They even serve longer than required, so they can alternative years with religious studies.
There are some yeshivot with a different religious outlook that do not send their students to the army. These devote full time to highest level study so that understanding of and transmission of Jewish tradition can continue into future generations. Israel stands or falls on the shoulders of both types of yeshivot.