Even if Britain had gone to war over Czechoslovakia, by the time any British troops had managed to deploy (given their state of readiness in 1938), Germany would have already conquered Czechoslovakia, and Rommel would have had those tanks anyway.
The Hawker Hurricane was still a mainstay of the Battle of Britain and it began RAF service in 1937.
Yes, December 1937. By September 1938, there were about 100 in service. The standard British fighter plane was still the biplane Gloster Gladiator of which there were about 450 in service. By the time war came in September 1939, the Gladiator had been largely replaced in RAF service by the Hurricanes and Spitfires - but it took until mid 1939 for that to happen (RAF fighter strength in September 1938 - about 550 planes - 450 Gladiators, 100 Hurricanes - RAF fighter strength in September 1939 - about 810 planes. 500 Hurricanes, 270 Spitfires, 40 Gladiators). If the Battle of Britain had been fought a year earlier, it would have been Hurricanes and Gladiators in similar numbers and a handful of Spitfires, fighting that battle.
The Battle of Britain would not have been fought at all if they had held the line in France and the Blitz would not have worked very well with even fewer MkIIIs and MkIVs against the commpetitive French tanks.
Chamberlin’s cave-in also was a terrible blow to the German opposition to Hitler. The “success” the Nazis were able to brag about undermined the aristocratic military opposition to Hitler until the tide had turned against the Germans.