I finally fixed this problem permanently in my GE Profile side-by-side thanks to the helpful hints of others on this site. The solution is that you need to replace the entire filter head assembly. It consists of the filter head (i.e. the structure the filter attaches to) and water lines that connect to the main supply to the fridge. It's an easy and inexpensive fix. Good luck.
I'm having the same issue. I've tried the remedies listed above. I think something has changed in the manufacture of the filters in recent years such that the filter is actually putting up too much resistance to water flow. When I try to fill the filter from the sink, It's tough to get water in or out. It just pools in at the top. The only solution may be to simply re-install the bypass plug and find another answer for the filtered water my family enjoys.