You are right that a big cataclysm is a-coming, but the two critical factors are timing and location (always, location, location, location). The ocean has risen some, and will rise a lot more; as bad as the long-term effects will be, remember, the rise--relative to our life times--is slow. But again, it depends where you live. People who live on low-rise islands are already screwed. People who live in areas only a little above sea level (Jakarta, Baltimore, Amsterdam, Venice) won't have to wait too long for really serious problems-- probably in the latter part of this century. The New York Metropolitan area has already paid many billions of dollars to repair itself after Hurricane Sandy. They should be spending as many billions more to get ready for the next one. Areas along the gulf coast need to be depopulated for a ways inland to get people and property out of harms way.
For a lot of people, flooding isn't going to be the problem: it's drought, as you mentioned, and yes, fresh water will be in very short supply. People who have been driven out of their homelands by successive crop failures, drought, or repeated floods (whatever the hell it is) are going to move, and if the nations in their path don't want them there, there will be BIG trouble.
However, granted all that, I don't believe "survivalism" will work. What the "survivalist" hunkered down in his huge underground bunker with huge tanks of water, canned food up the ying yang, and so on, are really "delayers of the inevitable" rather than survivalists.
That a little cadre of Navy Seals (or something like that) can hole up in a mountain fastness and not only protect themselves and their children's children's children, but actually sustain a fragment of civilization is fantasy. Such fantasy makes for great SF plots, but a poor plan for the real world. Why?
First, because the life in the bunker will be pretty much static, and minds living in static conditions start to dull after a while. People will go nuts. Second, the supplies will eventually run out. Up in the mountains a good deal of what you bought down in the valley from the local Walmart won't be replaceable in your little habitat. Third, You won't be able to revert to a hunter-gatherer style of living either, because the first thing you will run into is a lot of other people hunting and gathering too. Fourth, all the people who are living in the degraded world will have made critical adaptations to a potentially very hostile environment. Maybe they got over the embarrassment of cannibalism and and know how to select dinner from the herd. You won't; you might be more likely to end up in the kettle.
The best way to survive is to survive in as large a functioning community as possible -- generally that means at least a small city with enough people bearing the diversity of skills it takes to keep everyone alive and well.
All of the large functioning communities are NOT going to disappear. Adaptable cities will have found ways to supply themselves with food--sustainable methods of food production and preservation. Adaptable cities will still have schools, libraries, musical performances, doctors, mechanics, plumbers, etc. -- all the people and institutions that produce civilization.
In one hundred years, 2120, sea level rise will have fairly noticeable consequences, especially for cities that were reclaimed from the ocean. A good example would be Boston. Some of Boston, MA will stay high and dry, but the core of the city will revert to wetland. It's not called "Back Bay" for nothing. It used to be open water and then was filled in in the 19th century.
In 300 years, it may be the case that the lower Mississippi River Valley will be one very big bay opening off of the Gulf of Mexico. The northern Great Plains in the future will be much warmer, more like the southern plains are now. That is NOT going to take hundreds of years. And just a word to people who imagine the corn, wheat, and bean belt migrating into Canada, it isn't going to happen. A good share of Canada is not agricultural land. It takes a long time for warming tundra to turn into fertile properly structured soil--not hundreds of years, but thousands.