I am not going to invalidate you life experience but the reason the some people with certs get stuck in entry level IT jobs, is the same way other people get stuck in entry level jobs. Usually it is not changing jobs to get better opportunities and/or not getting higher level certs. It is rare to stay in one company and go from low level help desk to engineering, especially in a certain period of time. As soon as you get a certain amount of experience and you are sure you will not move up in your current company, leave and find something else better. You should also look into contracting firms (like Robert Half Technology, TEKsystems, Insigt Global, etc..) local managed IT firms for jobs as well since they will refer jobs to you in ordered to get paid. If you are doing any type of help desk let it be in a Network Operations Center. You may be doing simple stuff at the start but you will be logging into the equipment to do so, and you will get crucial experience there.
Also getting your A+, N+, S+ and even a CCNA R/S is good and all, but they are bottom barrel to entry level certs. If you want to get more offers and success work on more higher level certs. For example If you have a CCNA you should be on ebay buying a networking lab and also studying for the CCNP R/S. But the lab is crucial in getting experience in configuring and troubleshooting networks because it is rare you will be allowed to do so without any knowledge of it, lab or real life. The knowledge you get from learning from an actual lab and not a book or even a simulator is priceless. Once you have that go to your supervisor and let them know you have these skills and you are willing to take on more work. I have seen it work. There was an employee at my company that started out at lowest level of the NOC but kept studying and learning. They moved up levels in the NOC until they were at the top, and when there was an opportunity to move into engineering they did.