"(Edited to add)

This can be one of the times where metering outside the DAW such as in the audio interface's mixing application can be extremely useful to check comparative levels. Ears and brain can and will be fooled, meters not so easily."

 
I use a mixer and it has meters so I totally agree. I know exactly what I'm sending out. 
 

I'm not really sure what's going on in your rig, but yeah... there should be NO difference between the sound you hear from the project in Sonar and the sound of the mixed stereo wave played by another player through your studio system.
 
Double check that you don't have something in the mix that's not supposed to be there.... for example, if you use ARC, be sure you shut it off before exporting, double check the routing....
 
With 30 tracks.... do you have any clones or doubles in the project?
 
Check this one carefully.......>>>>  be sure you don't have doubled, cloned,  or bounced tracks in the project that you muted in the project.... BUT.... upon export you selected ALL TRACKS.... as opposed to WHAT YOU HEAR..... that could  add all sorts of issues... including phase addition or cancellation of lows, and comb filtering of the highs.... A simple mistake in export option selection could be the issue.  I'm not sure that Sonar will do that, but I know there is an entire list of export options and I always choose the What You Hear option for export to avoid grabbing any other tracks by mistake.  I've used one of those options to export individual tracks as well a few times and there's a "raw wave" option there too IIRC...

Aaaargh......    thanks for your patience with me...   learning on the fly...   I tried the exact same thing again with the same track, and there was some volume increase getting into Ozone (again with bypass engaged), which likely accounted for some of the brightness which I mentioned, but not the "cymbals jumping out of the mix" anomaly that I ran into before. I can't explain what happened, but I did get a lot of good info from y'all, which I appreciate muchly.  I'll just keep on  truckin and the more I do it, the more comfortable the process will become.
Also kinda glad nobody feels Pro Tools "sounds better" than Sonar, as I didn't want to change platforms at this time. Enough to figure out as it is! 

It seems unlikely that Ozone would have any affect when bypassed. I have actually tested for that, and Ozone's output was identical to its input in every measurable way. There's something else going on here that we haven't thought of yet. Want to send me your test track? I'd be glad to analyze before and after and post the results.