Does this move make the people of Poland feel any safer knowing that Russia has over 1500 nuclear warheads ?
1500 or 15000, it's irrelevant. In case of nuclear war with Russia 100 would be enough to destroy most of Poland, so they can have even 15,000,000 as far as I'm concerned.
The point is for Poland to have enough nukes to maked invading her totally unprofitable. Pakistan has about 200 nuclear warheads, so Poland can get about 400 of her own. Is there anything in Poland worth invading her, that would justify Russia receiving 400 nuclear warheads into it's most populated urban areas? I don't think so.
Therefore, Poland having a couple of hundred nuclear warheads (top notch, with modern means of delivery) would mean she would never get invaded by anyone.
It just wouldn't be worth it. That's why we will get those weapons eventually. We are rich enough and technologically advanced enough. If the US refuses to help us with the task, then f*ck 'em and let's go alone (or with Iran and North Korea, maybe Russia and China). At the moment, it's a matter of Poland's survival so all other political issues/alliances are of secondary importance.
If Americans claim to be our allies, they will help us get the weapons that will ensure our survival. If not, they can go f*ck themselves. Perhaps it is indeed time for the end of American world dominance? Who knows.