You haven't said what platform you're using, or what InDesign version. The issue is that InDesign CS6 and earlier have inversed the color when the text is selected, like this:
At least on the Mac, using InDesign CC (due out in a week), the highlighting routines have been changed because of the code re-write. It now looks like this:
Sorry - using Windows 7 and Indesign 5.5, and yes, my screen looks like the first one you posted. The second screen you posted is much more decipherable.
I assume the answer is that there is no way to adjust the color inverse on the present InDesign??
I'll have to look into the Indesign CC once it's released to see if it is appropriate for us go that route - we use InDesign only infrequently.
Thank you so much for the information!