askajan, you'd have an easier time getting into research as they are more open to people from non-traditional backgrounds like yours. there should be a lot of recruiting come january, and even though competition will still be stiff, start reaching out to headhunters around that time because there should be some turnover.
that's not to say your skills wouldn't be relevant to banking, and it's worth a shot if you're interested, but i would generally agree with the points that jmerten makes. as far as what goldenboy09 described, MM banks talk about how you work on smaller deal terms as a main selling point to join them, but this isn't necessarily true. firms like GS run pretty lean deal teams as well and the reality is that the type and quantity of work you do, whether it's for a one billion dollar deal or a multi-billion dollar deal, is not that different from one case to another -- the reality is that the work/productivity is pretty scalable. i also disagree that it's easier to switch into PE from an MM -- in fact, unless you're targeting a firm with a specific sector or industry focus, it's almost invariably easier to get in from a larger bank. PE firms respect and want the prestige/training that analysts from BB banks have.
but let's not get too far ahead of ourselves here...get your resume out there, but know that you will have an easier time getting into research than banking unless you have a very strong network there. and even getting into research is no shoo-in. good luck