OK, the Bavarian, Saxon and Polish armies (including the King of Poland) were sent to relieve Vienna. They arrive too late and are picked off one by one by the large Ottoman force (POD is probably mid 16th Century to boost Ottoman tech). With Austria conquered, Bavaria, Saxony and Poland fatally weakened and the Russians still without ports or the Window on the West (thus ensuring Otomman domination over the Khanate of Astrakhan) the fragmented states of the Holy Roman Empire (over 250 of which the only one with a decent army left is Brandenburg-Prussia) are easy pickings. France is caught up in Flanders and Alsace-Lorraine at the moment, while Sweden is embroiled in the Northern War. Poland Lithuania absorbed by Ottomans during this conflict, while the Russians gain Estonia-Livonia and Karelia-Istria. Sweden keeps Finland after signing a peace treaty with the Ottoman Empire when Scania was conquered in 1737. they are given Norway after the Defeat of Denmark in 1708 makes it a bargaining chip.
Meanwhile, the still heavily fragmented states of Northern Italy are also conquered, Venice first, then up to the boundary of the Papal States. Ownership of Silesia, coupled with the now equal tech of France and the Ottomans leads to huge campaigns against France culminanting in the capture of Flanders and Alsace-Lorraine. Britain remains neautral after Ottoman guaranties that it will not invade Holland, or keep Norway permanently.
War of the Great Coalition-Napoleon Bonaparte, the French General wins a string of victories for le Roi (revolution never happens to maintain French stregnth) in Northern Italy. France, Spain, Sweden, Russia, Portugal and Britain are the Coalition against Ottomans. Before the war, the Versailles agreement states that all colonial possetions are to be placed in the custody of the strongest remaining nation if they are conquered (this ends up being Britain).
Sweden defeated after capture of stockholm in 1808 (I'll change Norway), Spain and Portugal concede neutrality (and volluntarily surrender empires fearing impending doom) after the Ottomans take Gibraltar in 1810 and begin moving troops across the Straits, Russia attempts 'scorched earth' tactics in the winter of 1812, but these fail due to Ottoman control of Ukraine and Byelorussia. France defeated in 1815, and Britain signs peace treaty as anti-war protesters fill London. It has already lost India, but keeps Burma. Ottomans refuse to recognise Versailles agreement, but an attempt to take over Madagascar fails after local resistance.
Britain decides to run all colonies as dominions. French rebel creating independant state in the North.
WWI: Britsh/Empire troops take India, Africa south of Tanzania/Zaire. Peace signed. Ottomans invade Britain in 1914, are pushed out but british attempts to create free french state in Brittany/Normandy are crushed in 1917. British army stranded but no Dunkerk. Britain conquered after lengthy 14 year campaign. European governments in exile form plans to launch an invasion in Britain. By this time the ethnic groups of central and easern europe (heavily repressed but told in secret by monarchs in exile to bear with it until liberation) rebel.
WWII: March 1935-landings made in Britain. by November the country has overthown the Ottomans. The war proceeds across Afro-Eurasia. By 1945, all Ottoman gains since 1683 are wiped out. The remaining areas are the most heavily repressed (the revolt's been crushed) and it takes another 8 years for the Ottomans to be pushed back to the Blue borders shown. By 1957, the Ottoman hardliners have been forced to flee into the mountains of Anatolia, where they are finally defeated in 1961.
1967: much of the area shown as Ottoman territory revolts, declares independance. Free city state of Jerusalem created. Ottoman Empire restricted to modern Turkey (minus Kurdish areas and Antioch).
My thinking could be quite odd, but does this clear up any issues?