2-door ponycars/musclecars get a lot of attention on forums such as this one but they aren't what's going to carry the load for any manufacturer. They're only about 2-3% of the market and there's comparatively little profit in them seeing as the majority are sold as fleet/rental units. SUVs and trucks are where it's at in North America, and like it or not the electric market is evolving and Ford has its eye on China where pollution is so rampant you can barely breathe. I'd like to send AOC to Beijing for a week and then see if she still thinks America is responsible.....Ford blew it. They own one of the most iconic cars in the Mustang, but they have failed to translate that into sales. They spend time and money developing things most people can't afford and fail to concentrate on what should be their bread and butter.
Speaking of China, the international markets have been Ford's achilles heel lately; their US operations are making money ($7.6B net, 2018). They're turning things around in Europe but China and South America have been losers when they should have been big winners. I'll look for our resident liberals to blame Trump's tariffs but they're not the problem. Not having the right products to satisfy those markets is the problem....and F150s, Navigators and Expeditions aren't the solution.
So to answer the question, no, I don't believe a US recession, which is inevitable at some point in time, will take Ford out. A big enough global recession could put the hurt on them and every other auto manufacturer for that matter. So should we expect one? Dunno, guess we could ask one of those sky-is-falling internet book sellers; they seem to have all the answers.