A single ballot box served Kababel at the 2023 parliamentary election, with 56 registered voters; that places it 104th among the 126 localities of Yozgat.
The neighborhood parts ways with the district as a whole. At the 2023 parliamentary election it went to İYİ Parti with 42 votes, while across Yozgat the leading party was AK Parti, with İYİ Parti here running 58.7 points above its district average. In the presidential runoff, 44 of 51 valid votes went to Kemal Kılıçdaroğlu — 60.1 points above the district average. At the 2017 referendum 46 of 51 valid votes were 'no' — 63.2 points above the district average.
First place has changed hands 5 times here since 2009. At the 2024 local election the neighborhood went to CHP with 29 votes, while Yozgat as a whole was won by AK Parti. Turnout at the 2024 local election was 89.9%, 7.6 points above the district average. The tightest race came at the 2019 local election: MHP took 17 votes to CHP's 15 — a margin of just 2 votes.