I think not, the most important aspect of an inter-continental non-nuclear war is air and naval power.

Does Europe have a counter to the 100 nautical mile AIM-54 Phoenix missile? No plane, American or otherwise, can stand up to a Tomcat, they have a lock and a missile away before the other guy is even in range.
With a "world war" going on one would assume that jetliners stay grounded so Tomcats would be free to shoot first rather than closing to visual like in the small conflicts.