Takes surprisingly little to collapse a civilisation when you kick its knees out from under it.
I quote "equilibrium" because social structures never stop changing. What I mean is a relatively stable situation where most of the world is not invading the rest of the world. Our present situation is that the larger portion of the population is not invading the rest, though the present trend seems to be in the wrong direction.
The belief that rich people will be able to ride this one out is a huge part of the problem. No matter how deep your bunker, no matter how many acres of land you own, extreme weather will make all of it worthless.
I guess an army of thousands could take it over but my hope is that me and my gun toting farming community won't put up with invaders and invaders won't want to take their chances
The climate change may easily cause large scale international conflict or fights over resources at national level, but the distance between places without capacity to handle the weather and the better-off areas generally are thousands of miles and an ocean, and the parties to any conflict would be neighboring communities of many millions of people each - I mean, this discussion is about "what will happen to the population of current Bangladesh, and what effect that will have on neighboring countries" not about what will happen for few rich people in USA against their literal neighbors from the same state and county.
I fully expect that the wealthy countries can handle some internal displacement due to e.g. sea level rise without mass violence and a general breakdown of internal order - people having to abandon coastal properties in Florida would cause economic woes and internal political pressure to Do Something (not necessarily constructive), not cause the displaced Florida men to form large uncontested gangs roaming the Midwest looking for bunkers to loot.
Northern Europe should worry about the Gulf Stream or Atlantic Conveyor currents failing and changing the climate.
Another big one is melting permafrost. Warmer temps cause permafrost to melt and release CO2, which leads to more warming, and repeat.
Finally, there is danger of ice sheets melting which could rise sea levels by hundreds of feet.