I don't think that it will be necessary to connect a wallet for your bitcoin with a phone number.
From a technical point of view I think that is even impossible.
What I can imagine, and what is already in place at many exchanges, is that you have to ID yourself when you want to exchange bitcoin into fiat.
And that includes a phone number.
Well that would be more of an app which is connected with online wallet something like that (and yes of course it needs security) lets call it virtual bank, that was my idea anyway..