The time duration for the BIP-148 UASF is from August 1st to November 15th. During this time, the BIP-148 nodes will reject blocks that do not signal for Segwit.
Now, after Nov. 15th, even the BIP-148 nodes would start accepting all the blocks, whether they signal for Segwit or not. So, just after Nov. 15th, what would happen:
Case I: If the BIP-148 block chain is longer than the Legacy block chain?
(My understanding is, this won't even happen. Because if the BIP-148 network hash rate gets higher than that of the Legacy network, the Legacy block chain will always be "in sync" with the BIP-148 block chain, and the two block chains will be exactly the same. Am I correct?)
Case II: If the Legacy block chain is longer than the BIP-148 block chain?
(Now, after Nov 15th, the BIP-148 nodes start accepting all the blocks. The next solved block will most probably be a Legacy block. So, will the BIP-148 nodes switch to the "longer chain" [which is the Legacy chain], and discard all the blocks since the fork happened?)