In general, one also trust's one's bank (in the US at least) because it's an FDIC-insured institution; the government promises that it will use control of fiat currency to make you whole if the bank fails.
That guarantee hasn't always existed, and the Great Depression was partially exacerbated by the problem that in the event of a savings bank failure, there was no institution to make creditors whole. As far as I am aware, the BTC ecosystem has no such guarantee anywhere within it, which makes it not as safe a place for stored wealth as a US bank (assuming you trust the US economy to not implode over your lifetime, of course... Current track record suggests you should trust it more than the BTC economy ;) ).
That guarantee hasn't always existed, and the Great Depression was partially exacerbated by the problem that in the event of a savings bank failure, there was no institution to make creditors whole. As far as I am aware, the BTC ecosystem has no such guarantee anywhere within it, which makes it not as safe a place for stored wealth as a US bank (assuming you trust the US economy to not implode over your lifetime, of course... Current track record suggests you should trust it more than the BTC economy ;) ).