Yes, the countertop can be altered, but why when you have two wall ovens? Most people would not make that choice. You have plenty of options for an outstanding new range top in that location as well as upgrading your wall ovens if you so desire. Your kitchen is of a modern style and laid out like most modern kitchens are. The range will affect the look of your entire space and may not play well with surrounding cabinetry or the flooring underneath.

With enough money most anything is possible. The top "should" be able to be modified but then again it may break when they pull it to cut it.

"My question, is it possible to cut the quartz counters around the range top or would I have to order all new counters? Anyone done this before?

Yes and yes. It's not a big deal. Rail saw with a diamond blade and dust extraction. Wear a mask and have someone supplement with a shop vac at the front of the blade. Cut half way through, then drop the blade and finish: don't overload the saw. Any exposed edges will have to be polished. No square corners please. Expect to pay a pro at least $500.00. The chances of breaking an estone top from doing this is miniscule because the top won't be pulled.

Have the appliance on site please; you can't believe the manufacturer's cutout specifications.

What you have now is a cooktop, not a range top. Since you have wall ovens, why not install a true range top? A range top looks like the top of an actual range, so you have knobs on the fascia of the counter and lots more room to cook on.