They've been saying that for years. And yet it hasn't happened. There is room for EVERYTHING. Even if all 41 Broadway theatres were booked with "tourist" shows, there is still off Broadway theatre that mostly presents more "artful" productions. Broadway has always been art meets commerce. That's show biz.
Personally, I don't care if a show is more touristy than artsy. I see what appeals to me and skip what doesn't. I've enjoyed touristy shows like SHREK just as much as I have loathed them (WONDERLAND).
"The Spectacle has, indeed, an emotional attraction of its own, but, of all the parts, it is the least artistic, and connected least with the art of poetry. For the power of Tragedy, we may be sure, is felt even apart from representation and actors. Besides, the production of spectacular effects depends more on the art of the stage machinist than on that of the poet."
--Aristotle