I think you may be committing at least two errors here:
1. Confirmation bias #1: Thinking that "GW alarmists tout every earthquake, every drought, every flood as proof of global warming".
Global warming affects the climate, which affects the weather - generally, in making it more extreme.
2. Confirmation bias #2: Thinking that just because you experience cold weather there is no global warming.
The longer, colder, more snowy winters are actually an effect of global warming, counter-intuitive as that may seem.