I think Bitcoin is rather building up trust and transferring this (because having utility value and with a huge speculation aspect involved) to the Internet than acting as a safehaven. Too much speculation in order to be a true safehaven now. That would require a much larger user base and even with exponential growth figures, that would still take a couple of years.

Having said so, the genuine chance of a true 'Bitcoinization' is too good to pass by. It could be the investment choice of a century. Shpuld be in the portfolio of every Gold bug.