Since then, no flowers or fruit despite all kinds of fertilizer,
misting, flooding, withholding water. (They did go nuts after I
added Miracle Gro, and moreso with Fish fertilizer, but no
flowers; They began growing (3+ feet) right into the fluorescents,
But no flowers.

Sounds like too much nitrogen (fish emulsion is something like 5-2-2);
try a 0-10-10 or some other low-nitrogen fertilizer (or don't
fertilize at all, if they seem to be growing OK - at the moment the
last thing you need is bigger plants).

Should I just chop/toss the tomato plants? They (and
the peppers) are blocking-out a LOT of light to my herbs.

Tomatoes and peppers are perennial in tropical climates (where they
came from), and so you should be able to grow them all year if you
want to (they are probably getting more light from the fluorescents
than the window, so your location doesn't matter a whole lot). So if
you can get them to flower you shouldn't need to toss them.

It does sound like you'll need to grow them some place other than
where your herbs are, though. Too many plants, too little space.
That's usually the situation. Heh.