Nazi Germany Lasts Another Week
Nazi Germany lasts another week. The Reich was THAT inefficient that the resources used in the V-2 wouldn't have mattered so much. If you include the V-1, you (may) butterfly away Fortitude South, but that was a sideshow.
After the war, the US and USSR rocket programs don't get the kickstart they enjoyed. but -- since the US had Goddard and the USSR had Konstantin Tsiolkovsky, they would have (probably) proceeded at the slow (slow)pace.
So, maybe one side gets to the Moon in 1980 instead of 1969. Otherwise, much the same on the propaganda front.
On the ICBM front, however, big flying wings flapping. The Strategic Bomber program along with Interception, gets most of the attention, and without rockets, MAD never becomes a fear of the war planners.
The "Knockout Punch" is dismissed as a possibility, and both sides concentrate on land and sea forces, with attention to withstanding an atomic defense.