It doesn't matter if your node starts to reject new blocks as long as miners opt for other block rules if you don't comply you won't then see any incoming blocks.
Yes. I'll still see blocks from all the honest miners that are NOT mining invalid blocks. The ONLY blocks that I (AND the entire rest of the SegWit enabled network of users, merchants, exchanges, nodes, wallets, etc) won't see are the few nonsense invalid blocks created by the "attackers" that are wasting their own time and money on block rewards that they will never be able to spend.