I can't even break into it *with* a degree.
First you should realize that the field can be considered to be broken into two divisions: applied AI (roughly the same as narrow AI), and AGI. This is an important distinction; not knowing this distinction is why investors get ripped off, programmers get frustrated, and YouTubers make fools of themselves. Applied AI is the use of current technology (meaning primarily digital computers) to produce usable products immediately, whereas AGI is currently all theoretical because it doesn't exist yet. Applied AI is what Google does, AGI is what you see only in movies. AGI is the real thing; applied AI is just mimicry. Therefore you should make a decision as to which division you want to go into.
As for AGI, it's extremely unlikely a research lab would hire someone without a degree to do AGI research, but I believe one could get around that by making a really good AGI invention, an invention better than their researchers could make. As for applied AI, I'm guessing that it would be very easy to get a job in that, especially in machine learning, since machine learning / Deep Learning / data mining is so popular now. Companies hire programmers to program, not to understand the domain in which they program, so if you can program in the language they want (Python, Java, C++, and C# are particularly popular now) or the tool they want (like .NET), especially if you've taken a class in machine learning, then I'd say you're very likely to get hired, which would be a great start for an applied AI profession. See
https://aijobs.com for a quick sampling of what applied AI companies are looking for (at least in Europe).
Everyone is waiting for a breakthrough in AGI, so when that happens I believe you almost couldn't *avoid* getting hired to work in that field, since AGI will dominate the world as an industry then. I'm guessing that being in applied AI would give you a terrific advantage for getting into AGI at that point, which in my opinion will be a field very different from IT and very different from applied AI. Virtually everyone will be starting out from scratch in that new industry at that point, though, just like you.
AGI = artificial general intelligence
GOFAI = good old fashioned artificial intelligence
IT = information technology
Why don't I get a job in applied AI then? For personal reasons I can't, but that's my own business.