I am far from a honemeister, but I get good enough results honing my own razors for personal use and friends' razors. I started off using the norton stones, and you can easily get a good enough edge off a norton 4/8k followed by pasted strop and then a few laps on leather

Since then I've really enjoyed using other stones, and I think I prefer my naniwa SS 3k and 8k over my nortons. I like the feel and smoothness of the naniwas myself.

But to answer your question, you should be fine with the norton stones IMO