With 10 voters on the roll at the 2023 parliamentary election, Buyukkisla stands 123rd among the 123 localities of Sorgun, and its votes were cast at one ballot box.
The neighborhood parts ways with the district as a whole. At the 2023 parliamentary election it went to İYİ Parti with 10 votes, while across Sorgun the leading party was AK Parti, with İYİ Parti here running 49.8 points above its district average. In the presidential runoff, 11 of 15 valid votes went to Kemal Kılıçdaroğlu — 56.3 points above the district average. At the 2010 referendum 10 of 15 valid votes were 'no' — 51.5 points above the district average.
First place has changed hands 3 times here since 2009. At the 2024 local election the neighborhood went to CHP with 9 votes, while Sorgun as a whole was won by MHP.