Sony maybe doing better as a company but its stock is nowhere near as strong as its competition and if Sony gets delisted from the American stock markets because investors start jumping ship it's going to look real bad. The rest of the company is still in horrible shape and not really growing at an expected rate. The PS4 is the only thing keeping Sony alive right now. And let's not forget that PlayStation is just a branch of its many electronics, to think it will keep afloat the whole other branchs is naive at best.
I wouldn't be so sure about that. Sony isn't just manufacturing Playstations you know, they are involved in a huge array of businesses. Besides that, they are also in a "keiretsu" like most other Japanese companies. This means that there is one central bank who funds dozens of companies that can be found in different sectors. So it's like a chain of a huge array of companies. Sectors include but not limited to: Financial, Food, Chemicals, Trading and Commerce, Petroleum, Electronics, Iron and Steel, Gaming, Entertainment and Shipping.
In turn, those companies have interest in each others companies as well as having stocks of each other. Besides that they usually also have shared boardmembers so it goes pretty deep. Another thing is, when companies within the keiretsu sell products another company can use, they usually exclusively purchase from within their keiretsu. Even if this might be more expensive than getting components from china. It's to support growth within their keiretsu and create more money for investments within.
My point is, when SCE blows all their funds, they will get more from Sony. And if they're out of funds, their central bank can provide more. Besides that, they have the support of their keiretsu members as well. Honestly Japanese companies don't fall over as easily as western companies do. There is a huge difference in business ethics. For example, Japanese aim for a 1-2% increase over 10 years while keeping their employees, while western companies tend to focus on short term 5% profit and laying off 20% or more of their employees.
I'm also not sure how you say that Sony disapearing from North American stock markets is a bad thing. Sony will keep living on in Japan. Besides that, their biggest markets are Europe and their own country. It will probably save them costs.
In any case, you seem really uninformed. I hope this was useful in any way. =)