Yes. Mehico is much more common. In fact, Meksico is not accepted by the Real Academy of Spanish and (as a Spanish speaker myself) I've never heard anybody using Meksico.
If there are Spanish speakers who use Meksiko...its an extremely minority.
I always reported this records anytime I found them. I hope they changed as soon as possible.
I've had a lot of problems with 'Texas' in Spanish... I'm from Texas, and I have worked in Costa Rica for three months now (as of Nov. 15, 2017). Growing up, I always heard 'Texas' pronounced in Spanish as "TAY-hass" because of the history of the state ("Los tejanos"). When I got down here to Costa Rica, most people say "Teck-SAS" with the English X.