alt Hacker NewsWhat is there to integrate into? Adult life is mostly just going to work to pay the bills. I don't know anyone with a particularly interesting life outside of their job.
Most Japanese people aren't going to be any less apathetic about a foreigner than others of their own group. Naturally there will be more traction with those looking for free English teachers and gaijin hunters. What a larger proportion of people likes is money and entertainment. Not so much foreigners trying to be Japanese. A foreigner giving such vibes will always be lower down in social status than the natives.
If you want to be respected (but not 'integrate') as a foreigner by traditional society in Japan it's good to work at a prestigious place where there are few Japanese people such as an embassy. Failing that a gaishikei company that sounds foreign to people who don't know better but isn't (likely >90% Japanese). Or just be rich (this may also involve being very picky or completely averse to working with the native population).