Would intercontinental bombers still be funded?

Would militaries still argue for intercontinental bombers without World War II?

Yes; independent air forces would use global bomber reach both as a military capability and as leverage against naval budgets.

America-bomber-style projects would probably survive even without World War II. Such aircraft offer a real long-range strike capability, but their institutional value is equally important. An independent air force can use intercontinental reach to argue that governments need not fund a navy for every distant mission. The bomber therefore becomes a weapon in treasury competition as well as a prospective weapon of war.