Upon reading this, any good reader should see that the answer is:
Do Jehovah’s Witnesses Feel That They Are the Only People Who Will Be Saved?
No. You could be saved if you fall into these two groups:
1) If you die before Armageddon*
2) If you become a JW before Armageddon.
So, Do Jehovah’s Witnesses Feel That They Are the Only People Who Will Be Saved?
Yes.
* I wouldn't classify a person dying before Armageddon as been "saved", but being ressurected. So, that only leaves you with 2) as been the only way to be saved.