Is it just me, or does anyone else think OP is making a story out of nothing? I don't see anything wrong with taking a very, very small fee for a bank to provide their seal on a document and basically verify it for everyone, I'm pretty sure all banks do this and it's fairly common practice, a bit annoying for sure, but it's understandable.
Yeah, we need another subject to prove banks are evil but we still use them because we're masochist or bitcoin is not helping us in some situations because it can't.
Now, the OP is angry that the bank charged him 1.5$ for a statement.
I welcome you to the western world where in the nearby mall it cost me 25 euro cents to print a A4 paper.
The horror!!!
Funny how people are annoyed by a 1$ fee a month but when the tx went up to 10$ they were all defending saying is not that much.
Hypocrisy? Of course.
So, if you had full control over your bitcoins, you could simply sign the Bitcoin address with a message to show that you own the bitcoins in that address and the Blockchain will give them all the data that they want.

It doesn't work that way.
They are not interested in the balance, they asked that statement to check the source of the funds in the last period and see if there is anything that connects the funding to something else or there is a group behind that is inflating those numbers.
Evidence of funds to cover your expenses while in the United States
That you have a residence outside the U.S., as well as other binding social or economic ties, that will ensure your return abroad at the end of your visit
How do you prove with bitcoin that the money you get from an address is your monthly paycheck and not just yourself funding that address in a circle?