Current long distance power transmission is most often used as a way of 'balancing' production and demand between different types of plants; it is not intended or capable of transmitting the full power needs of the recieving area.
I didn't say it's just about "connecting countries with a common grid". Switching from fossil fuels to renewable sources is much more challenging than that. However, transmitting lots of power over long distances is doable and cheaper than many people think.
While there isn't a complete grid, the UK has connections to Ireland, the Netherlands and France, enabling a bit more balancing. You can see the UK is currently running on 60% CCGT and 25% nuclear, although the 10GW solar capacity can't be shown because there's no central real-time metering for it. That's quite an impressive amount given the total (net of solar) demand is 30GW. Two and a half "Drax" worth of power, invisibly distributed around the country!
Importing a whole country's power consumption is probably a bit much in terms of required infrastructure (except for the microstates which already do this), but smaller links are already present and make economic sense. I don't think the politics of energy security are an obstacle if the price is right.