Not that you would, given that Israel is not a monarchy and that kings are not exactly elected.
But can it? Would that be halacha? I've heard we have had issues like this during Herod. I just want to understand a bit about the context.
Recently a governor in Jakarta wasn't elected and was thrown in jail over mentioning a Quranic text that suggest that Muslims must not vote for non-Muslim leaders. You can see the case here: https://www.theguardian.com/world/2016/dec/12/jakarta-governor-ahoks-blasphemy-trial-all-you-need-to-know
That governor was a very popular governor with the media claiming the election "feels like presidential election".
Someone was joking in an Indonesian forum saying that in Israel some honest Muslim governors are also jailed for similar cases.
I just remembered similar verse somewhere in the bible about not picking king among non-Jews and would like to compare. I forgot the verse.