I think you should keep your current job and focus on getting certs and training that will apply to both the job you have and the job you will have in the future. Start looking at getting your MCSE. Its a good one to have in the position you are in as well as something that will come in handy when you move up.
You know, there is a spot between helpdesk and network; desktop. If your business doesn't have one, see about finding a job that will give you a chance to get off the phones and working with computers on a more macro of a level. When I say macro I mean try and find a position that will let you support many machines through project work instead of case by case or ticket by ticket work.
You'll probably find that its pretty hard to "puddle jump" from Helpdesk Support to Network Administrator; especially with only one year of experience and no previous degree or majorly accepted certifcations. If you are stable and happy with your income right now then I'd suggest sticking it out for one more at the least. But definitely use that year to get some education in you!
Don't forget that what you are doing now isn't a job, its considered a career. Make the most of it, a month shouldn't go by without you thinking about more forms of training and continuing education.