Dremel with one of those fiberglass (made out of - not designed for) cutting wheels. You want to do your cutting with something that isn't as strong as glass (ie steel) so that worst case you'll scratch the glass rather than breaking it.
It will be siliconed down about every 4-5" and at each corner, just section and remove.
However I disagree with the comment about the plastic not really reinforcing the tank. I've personally seen the flex on glass when a plastic trim/ center brace is removed, they do provide a lot more support to the tank than we might like to believe.
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