Their disagreements extend beyond security to religion, national service and the state’s civic identity.
Avigdor Lieberman and Ofer Winter both identify with Israel’s political right.
Both emphasize national security and greater responsibility in military service.
Yet their political outlooks reflect different traditions within Israeli society.
Lieberman's Yisrael Beytenu advocates a strongly secular approach to religion and state.
Its proposals include civil marriage, public transportation on Shabbat and mandatory core education in schools.
Winter's Amcha Israel is associated with a religious-Zionist political identity and places greater emphasis on Jewish national tradition.
At the same time, Winter has included Yoseph Haddad, an Arab-Israeli Christian and wounded IDF veteran, among the leading candidates on his party's list.
This combination raises significant questions about how the party defines civic participation.
Lieberman's approach also raises questions about how secular reforms would accommodate citizens whose religious practices differ.
Both political programs intersect with debates over equality, public funding and personal freedom.
Their proposed changes to military service provide an additional point of comparison.
A service-based conception of civic responsibility must address how the state treats people who serve, people who undertake alternative national service and people who are legitimately exempt.
Different answers can produce substantially different policies.
Lieberman's long parliamentary career and Winter's military background shape how each presents these issues.
But their personal histories do not resolve the underlying disagreements about law and citizenship.
The central comparison concerns which institutions and legal protections each party proposes, how rights would be preserved and what compromises would be required.
The Israeli right is not one uniform political position.
The different programs of Lieberman and Winter demonstrate the range of debates within it.