HI..
Unfortunately, MS no longer makes Internet Explorer available for the Mac. This is a huge issue for me as well - I would call Quicken again and ask how to connect to your bank - or even if they are on a list to connect to.
Call your bank and ask the same question but like this:
"Do you support downloading into quicken directly from Quicken?" And " Can I export my accounts to a text file from a browser?" Don't tell them which version of a browser or that you have a Mac and see how far you get...
THere are other browsers you can try too -
www.mozilla.org - FireFox
Good luck.. frustrating, I know.