To me, that would just depend on your financial situation. I'm in that same boat where I love my job, people respect my skill, but my pay is quite quite terrible ("entry level" + contractor = poor).
I would NOT take that new job. It's likely, since learning new skills, you wouldn't be at a level to where you'd get the respect you command now. I'd just try to find a job which I can be of help to. Turn this one down (IMO) and keep searching.
Now, if you are making 60k and you are being offered 120, I dunno because I'd have a hard time turning that down.
If you are desperate for money, then yes I'd take the new job. I'm just talking from my own experience and I'm in a similar boat. So that's how I'd handle the situation.