(2) There very likely would have been another war, but only with Poland.
The generals had no great desire for Alsace-Lorraine--the Alsatians and
Lorrainers had from their viewpoint made very poor Germans from 1871 to
1918. Nor were the generals much interested in Austria and the
Sudetenland. Finally, they did not dream of Lebensraum in the East and did
not harbor hostility to the USSR. In fact, they had been working with the
Soviet military for years to circumvent the disarmament clauses of the
Versailles Treaty.
(3) With respect to Poland, things were different. The generals, like most
other Germans, did want the Corridor back, and the Poles were unlikely to
yield on this. So a German-Polish war was likely. But it is doubtful that
this would have been a *world* war. A great deal of prior provocation on
Hitler's part was necessary to have Britain and France issue guarantees to
Poland. By holding on to limited demands (which it could justify on
grounds of self-determination, especially for Danzig and much of the
Corridor), Germany could probably avoid British or French intervention.
Soviet intervention would be avoided, as in OTL, by giving the USSR eastern
Poland (or if you prefer, western Ukraine and western Belorussia). But in
order to avoid western intervention, the Germans would allow a Polish state
to remain (shorn of some territories, such as the Corridor). Essentially,
everyone would be satisfied with the results except the Poles--and even
they of course would fare much better than in OTL.