Considering Vienna fell under Soviet jurisdiction and administration, why did Stalin not try and integrate them into the eastern bloc?
After the end of WWII, Austria was divided in four areas under Allied occupation (as Germany) each memeber of the alliance having a zone (UK, USA, France and USSR). As Berlin in Germany, Vienna was also divided between the four. Vienna was effectively in the Soviet occupation area (Eastern Austria) but wasn't totally in Soviet's hands.
The Moscow Declaration in 1943 claimed that an independent Austria was the objective of Allied forces in this country and they will work together to achieve this. On April 27 1945, Karl Renner's provisional government (composed of Social-Democrat party, Communist party, Christian-Social party) declared Austrian independence towards the Reich meaning that Austria should not have the same fate as Germany. The planned future of Austria wasn't the same as their German neighbors.
In novemeber 1945, elections are organised and the ÖVP (Christian-Social party) gets 50% of votes. The KPÖ (Communist party) only gets 5%, showing a massive distrust towards the Soviets especially after the violence caused by the Red Army in Vienna. The SPÖ (Social-Democrat party) gets the rest of votes. However as the country's imperative is to rebuild and repair after the war, a coalition between the three parties is formed (Communists will only get one ministry). The Allies keep an eye on Austrian politics via the Allied Control Council, composed of one member of each occupying force, they can only impose a veto on Austrian government decision. You can see that the influence of the occupants, especially the Soviet regarding your question, is pretty low.
Keeping the Moscow Declaration in mind, the Allied influence will constantly decrease as Austrian institutions are created and are taking in charge the rebuilding and denazification. Finally in 1955, all allied forces and the Austrian government will sign the State Treaty granting Austria complete independence (ending the occupation) and absolute neutrality.