Your skill in the js front-end is a valuable asset. Silicon Valley startups have moved architectures and frameworks from multi layer b'ends to far lighter archs on the b'end and new derivative next gen languages on the b'end. Eg like LAMP stacks, python and rubi (2 next gen functional languages). The line between f'end and b'end has shifted where the f'end takes on some of the responsibilty (via its own frameworks like backbone.js, node.js,etc...) that the b'end traditionally would have. Bottom line, trend is your friend and js and its frameworks are in very good demand more than ever in the valley!

I would say the biggies like ebay, google, apple , etc... may look at your degree (or lack of) and rank it for eng positions. I know goog may look at it a bit. they used to like high ranking colleges. However, for your valuable skill in js, small startups may value your skills and are open to sponsor. some are starved for f'end talent.

heres my advise to getting in to a small startup:

look in HN jobs, startups for hire indeed.com, network friends, linkedin etc... find small cos, private make portfolio of your apps, design docs, blogs, etc... and put them online. take them to interview and show them to everyone small cos may sponsor you. there is usually a cost in salary i think (20+%) demonstrate your knowledge of js in the interviews, good attitude *take a strong double shot cappuccino in the interview, it works for me to get my brain supercharged!

good luck