I haven't used nylon strips, but you may want to check with manufacturers like Versa-Lock and Castle-Block. They are on the web under those names. They both, generally, use Geo-Textiles, but I suspect that one or both would have such a system. Remember, all of these proprietary systems are spin-offs of the original "Reinforced Earth Co." System where metal strips were used. All that needs to be done is compare tensile strength, friction etc. No corrosion problems, so it sounds like you are home free. Good Luck.
You must also consider construction damage and other factors of saftey. You would probably be better off using a geogrid or geosynthtic that is readily availble so you will know what factors of safety to use and the elongation of the reinforcing material.
So far, I have been in the segmental retaining wall bussiness since 1993 and have never heard of Nylon as a reinforcement. Polyesters are the most widely accepted followed by HDPE. Probaly has something to do with the safety factors about biologocal or chemical attack.
Any thing with tensile strength can be used. We built and test loaded a reinforced soil bridge pier using cotton sheets from J. C. Penny. The video of this can be obtained from Colorado DOT research dept. The world seems brainwashed that reinforcements must be stiff in-air. Thus more expensive grids are selected when polypropylene fabrics work equally well and are much less expensive. The keys are granualar backfill, close spacing (12 inches or less) and durability.
Cotton fabric was used for a brief time in Texas in the 1930's (during what we Americans refer to as "the Depression" as a reinforcement for roads - very much like we use geotextiles today. It was a dismal failure - the fabric rotted too quickly to be of much use. What has been the experience with jute in India in this regard?