I think it could very well happen, but it's way too early yet. IMO Mutually Assured Destruction will keep us safe for now.
The problem will be is when when humanity / certain empires are at risk of extinction and have nothing left to lose, or when resources become so low that they are are used to make plays for them.
And this will come in my opinion. The droughts seen through the world this year are the early warning signs for battles for water which I believe will come with the climate crisis. There are documentaries on youtube, and I'm not talking about the 12 view rants from a crackpot conspiracist ranting onto a webcam. Check out documentary channels like DW which has some great content on current events which are huge warnings for the future. Genuinely scary shit.
And if we can't switch to renewables before we run out of fossil fuels (Which let's face it, is very unlikely with late stage capitalism), when we start getting waves of mass migration from the climate crisis that will push developed nations to their limits... If you're still around at that time, just make sure you're standing outside when the bombs fall so you're not there for the afermath.
Give it 25-50 years and I think you might have a genuine concern. Until then, stay off the 24 hour news cycle which will do anything for a piece of the current world leader's dick waving contests.