Two PhD programs simultaneously in different countries
I think it would be a serious mistake to try and deceive either institution. You could wind up ostracized by both and expelled. If both agree that you can do this then the only problem is being able to accomplish the task.
But, of course, you would need to work on separate problems as you can't get two doctorates for the same work. Your advisors in both places need to have the possibility of contacting one another.
All in all it seems like a poor plan. If your home country is in turmoil, make an exit plan, certainly, but this doesn't seem like the correct one.
And one doctoral research program is usually plenty for anyone.