I think having an fATPL can work for or against you when applying for ops / dispatch jobs. Some people will be put off hiring you, thinking you'll be off again quite quickly. Others will think its a good thing, because you already know quite a bit about aircraft and flying eg. you'll understand METARs / TAFs. This certainly helps when dealing with Flight Crew.
I've been doing an ops job for a small charter company for 8 months and have been enjoying it. I didn't cover up the fact I had an fATPL in the interview. I simply said that I thought that it would help me with getting to understand the job quickly. I also said that, although I would eventually want to look for a flying job, I thought working in ops for a year or two would help me a lot in understanding the industry.
You will make useful contacts doing ops work or dispatching and some of those may well give you job leads. Plus, its pretty interesting work !