This seems unlikely....for the simple reason that, no matter how frustrating the power of the Hapsburgs may be to each state individually, they are an integral part of the balance of power...in any case, Hapsburg destruction at the hands of the Franco-Ottoman-Polish-Hungarian alliance would be disproportiantely beneficial to the the Ottomans and Hungarians.......who would merely replace the Spanish and "Austrians" respectively as threats to French interests.
How does this conflicting my point ?