Everything there besides Proxies and Symbols is already in common browsers, and I can't say I'm familiar with Proxies and Symbols in other languages (not to say some other languages necessarily don't have them, but I don't think most users consider them basic or encounter them often).
I'm a bit puzzled what symbols are. If you want a unique thing that !== anything except itself, make an empty object. It seems to me: var foo = Symbol("foo") ought to let you dereference via bar.foo vs. bar[foo] (the latter shouldn't even work!) or it's not what it seems it wants to be.
Symbol has other traits beyond just not being unique. Properties added via symbols are not iterated over in a for in and do not show up in calls to Object. getOwnPropertyNames()
What a convoluted mechanism! But where do you keep your reference to the symbol to keep it private? Anywhere you keep it (e.g. in a closure somewhere) that's private doesn't need symbols, so what problem does this solve?
And surely in your private context, bar.foo should still work.