You may have your timelines incorrect then. By the time Mozilla and Firefox came around MS had already won that war and it was businesses who were making the decision to target IE, not developers.
When developers were pushing IE was when it was IE vs NN.
Where did I mention Netscape? I didn't.
IE5 is from 1999, IE6 from 2001, and they were undoubtedly better than Navigator; but the first 0.x releases of Mozilla with the new Gecko engine are from late 2000/early 2001, and were better than IE (although the suite was slow and bloated). Firefox was branched out in 2002 and took off very quickly because it was a great engine without the bloat of full Mozilla. That's why people pushed it (or rather Phoenix) right off the bat.
If you were pushing IE6 over Mozilla or Firefox in 2001/2002, you weren't paying attention. Navigator all but died in 1999.