So you didn't link to the video that scared you, but to something else?
Okay. I watched her church speech. I think you've got it wrong. She says (while talking about her son in the army):
"Pray for our military men and women who are striving to do what is right also for this country—that our leaders, our national leaders, are sending them out on a task that is from God. That's what we have to make sure that we're praying for, that there is a plan and that that plan is God's plan. So, um, bless them with your prayers, your prayers of protection over our soldiers."
Charles Gibson took a dependent clause and turned it into a main clause! That's dishonest journalism. If she had said, "Pray that everyone in Iraq loves their neighbor and shuns war"—a perfectly reasonable statement—and he said, "You said 'Everyone in Iraq loves their neighbor and shuns war'; how could you be so blind?" that wouldn't be good journalism either.
She didn't say "this task is from God." She said to pray that our national leaders knew what they were doing, that they were wise enough to follow a plan that lined up with what God's will was. There's a biiiig difference there, and she explained the difference quite well in the interview. When I saw the interview the first time I thought it might be weasely, but now that I've seen the original speech I can see that it totally isn't.
But anyway, what do you think the United States should do about countries that are mass-killing their citizens and the United States believes they are helping out people who are mass-killing the United States' citizens?
On the face of it, the statement "The United States has no right to tell another country how to run, or invade it to dictate how it should run." sounds very reasonable, however I am not sure there are never exceptions. I think a lot of things were done poorly in the Iraq invasion, but I personally don't have better plans that should have been used, and I also think getting rid of Saddam was a good idea. The decision to do it was made using bad data; very few people would deny that now.
If you believe it's God's will for the people on the earth to make good decisions that will help other people, it's perfectly reasonable to pray that you make decisions in line with his will, and to pray that people responsible for your loved ones are making decisions in line with his will. She's not saying, "We're doing God's will, aren't we great?" She's saying she hopes they're doing God's will. That is not a scary thing to hope for.