Those who want to trust BTC banks can do so. But now people have the choice not to trust them and instead manage their wallet themselves. You don't have that choice in the current banking system.
Not sure there is as big as a difference between BTC and the current as people would lead you to believe. Emphasis on as since there obviously are differences - at least until new laws get thought up and passed.
1) The value of your card is unlikely to be stolen by a hacker, unless you make an online purchase.
2) If someone spends the value of your card, you have recourse
3) Bitcoin is used to store much large amounts of money than you likely had on your VISA card
Nope. Look at everything you can do with your online bank account. Transfers to other accounts, wires, bill pay, stop payments, ACH (if you're lucky), etc. What's the common there? All those transaction are reversable. This makes it hard for hackers to steal money from banks, they need an unwitting third party (mule) to accept an account transfer, and then go to a branch or ATM to withdraw cash.
So it's not like your online banking accounts are secure, you can purchase any number of stolen online banking credentials from trojan/botnet operators. The price for those accounts is quite low, because the real effort is in finding unwitting mules.
The problem with bitcoin, is that bitcoin transfers are irreversable. So banks will never be able to protect bitcoin wallets effectively, because they can't rely on being able to reverse transactions for compromised accounts.
I worked in a bank designing systems at one point. Even with methods to retrieve money lost through fraudulent transactions, they still had monthly 'Fraud' budgets much larger than my salary for money they couldn't retrieve. Imagine BTC services 'Fraud Budget' when all transactions are non-reversible.
Banks do have a massive advantage in 'Practical' security as well in the form of a 'big stick' aided by the government. Since the practical risks of fraud against a bank are much higher than fraud against an online BTC service (who is the FBI more likely to help), the exposure would be much bigger.