Do it! (Score 1)

Great news: even entry level IT or sysadmin jobs pay better than teaching! Look for jobs, find one that looks like a reasonable place to be, and get to work. It'll be drastically different than a public sector job, but if you are good, you'll adjust quickly and find it is a lot of fun. Once you've done something for a year or so then you can look at other places in the company to help out or transition in to (but again, if you are good, this will probably just happen naturally).

Good luck!