Peace, yes. But how? This seems rather naive.
The transition to a peaceful civilization doesn't end with Bitcoin adoption.
Extremists don't view us as the enemy because of fiat.
Humans haven't evolved to live in a world of abundance, without struggle; which is why in the absence of struggle, we make it up for ourselves.
It's ironic to hear American's talk about B2 as a shining example of "the problem," when to others living under hostile regimes it's a symbol of salvation.
A global Bitcoin standard is definitely a step in the right direction, and takes away many of our historical incentives for war, but that won't be the end.
Until we figure the rest out, it's nice that there's at least one less nuclear power to contend with.
