The iPad Safari is identifying itself as a mobile browser. Some Sites are taking it as a sign to display a different page, or not at all.
You may try doing it with the Atomic browser (1$) that can be disguise as IE8
Check with your bank to see if they have a mobile site you can go to. Many banks have mobile sites and apps that let you check your banking. Sometimes it's as simple as putting the letter "m" in front of the URL of the bank. Example: make ""www.yourbank.com" into "www.m.yourbank.com" without the quotes.