Best you could hope for is domestic charges or for Kissinger to make a visit to Viet Nam and get arrested there.
The Hague invasion aspect, and Hague Invasion Act nickname, are perhaps largely symbolic; the less symbolic effects are that it prohibits any part of government in the US from assisting the ICC except in limited circumstances, and bans ICC agents from doing any investigative work in the US.
Doesn't this make the US a safe haven for other countries' war criminals?
You'd think the rule would be that there will be no support for ICC agents investigating US citizens.
For example, do you really think that by charging putin, that he'd really get arrested in participating countries? Or would the warrant be ignored?
And if putin does lose his war, and goes into exile, the ICC warrants would then be possible to enforce (now that no nukes is on the line). But putin knows this, so if the war goes badly, would it not make better sense to fight it out to the bitter end, rather than lose out to being arrested if he goes on exile?
The court that has no enforcement mechanism is mostly just political show boating.
https://en.wikipedia.org/wiki/Kandahar_massacre
As he has been sentenced to life in prison without the possibility of parole the US takes the position that they want to prosecute such things within their own system.