I was in a slightly similar position. Had Longevity (7 years) with the company was paid the same as a supervisor, but wasn't one (had no desire) and the work was pretty good. Not too stressful, and really - the benefits were good.
My motivation to leave was a different company had same type of position (Call center at the time), which started out at $2/hr more than what I was making at the current job which I had maxed out my wage. So, I went and got the job there. I absolutely LOVED the job! Problem was - life events took over and I lost the job 11 months later.
2 weeks later I got a different job, still as an operator, but then making well over $45k annually doing this job. Loved it, but company was downsized when economy collapsed.
So, for me, taking the jump forward paid off - but in the end, sort of ended awkwardly, was out of work for 3 years and am now doing IT and loving it and looking also at a possible offer in the next week or two for full time permanent.
Really sit down do the math - figure out if it will work out for you financially and if so, if the possible stress associated with most certainly a different culture (Even if it is an educational facility - things can differ from place to place). If the stress is worth the pay, and your benefits compare, then it is up to you, but I'd probably do it personally as long as there is a chance for advancement later on.