Yeah, it's not quite straightforwardly big C conservative - it had abortion rights in its constitution, after all, and has a Democrat governor right now.
Reading up on attitudes to abortion across different states, polls taken before this referendum put Kansas in the 'too close to call' bracket, placing the state's abortion rights in the 'in danger' category, so the forced-pregnancy brigade must be running scared of this result. A 59-41 split, where the question was deliberately obtuse and it was scheduled to coincide with a primary in which Republican-registered voters are traditionally the most likely to turn out and independents had nothing to vote for other than this, is a massive defeat for them. It suggests that most, possibly all, of those 'too close to call states' would vote pro-choice given the chance. The number of states with forced-pregnancy majorities in those polls is small and the supposed majorities are also rather small - even there, referendums on abortion could quite possibly produce a pro-choice majority.
As ever, the battle for democracy here is to get some democracy going. Own-goals like this Kansas referendum show how well democracy could work on this question, so we can be assured that those fighting to force pregnancy will do all they can to subvert it.