You seem to have grasped that the temperature gradient is what creates the jetsreams and determines their strength. The rest of it you've got almost completely to cock.
Jetstreams determine the storm track. When they move away from the poles they bring the storms with them.
What we get is weaker jetstreams, which meander more (as I previously pointed out). It isn't strong jetstreams which push air from the poles, it is weak jetstreams meandering from the poles and allowing cold air to come south. This is why European summer weather is famously unpredictable, since they depend on the unpredictable meanderings of the weaker summer jetstream. Last summer, for instance, saw the jetstream flowing south across Scotland and the North Sea and directing storms from the Atlantic across England and mainland Europe. Meanwhile blocking highs kept forming over Scandinavia. The result was England's second wettest year (by a smdigin) including its driest spring (when the jetstream was arcing way north), with lower-than-average annual rainfall for North and East Scotland.
Now you slip back to the unique power of cold air masses, when in fact it is the temperature gradient between cold and warm air-masses that lead (via the resultant pressure gradient) to jetstreams.
The averaged latitude of jetstreams varies with the season because the effective equator (where the Sun is overhead at noon) varies. It remains at about the same relative position on the arc from effective equator to pole. That arc is smaller in summer, so the jetstream latitude is closer to the pole. In winter, naturally, the reverse is the case. It's nothing to do with the special power of cold to push things around.
Drop in a buzz-phrase why don't you. They always impress, especially after such a display of confusion and heartfelt error.
I'm not surprised at all, a Science forum does attract all sorts who haven't a clue what they don't know about a subject. This, you'll not be surprised to hear, includes you.
Think of a subject you're actually conversant with and imagine someone so ignorant of it they're convinced they know it all, and certainly know it better than the experts, such as yourself. At that point you might turn your thoughts inward and perhaps wonder, if only for a moment.
From your link to NASA, by the way, I now realise that by "winters are getting colder" you mean European winters are getting colder (not immediately obvious) but the graph is of annual mean, not specifically winter. We've had a string of cloudy (hence relatively cold) summers recently. As a source for your claim I'm afraid it's insufficient.
Cnadian winters have definitely been getting warmer, there was a study done on it recently. Someone may have a reference to it?