Would we have managed to achieve this if we had procured the F-111 or kept TSR-2?
The TSR-2/F-111 was not a V-bomber replacement, it was a Canberra replacement in the tactical bomber role. Which is the type/role which the eventual substitute, the F-4, replaced/assumed.
Not to say that, if bought, the TSR-2 or F-111 would not have lead to the eventual phase out of the Vulcan as their main role disappeared, but it wasn´t the plan.