Yes, I laughed when I saw that comment. I believe she would be denied entry to the US based on the questions that screen out communists, although because the particular question mentions a party and I don't believe she's a CPRF member it's possible it wouldn't apply. Regardless, not a good fit on either end of the relationship.
I'm more amused by 'grab anyone we want' stance, along with 'everyone wants to be the US citizen'. Imagine some Chinese would said that about some US scientist.
