Need some clarification!

Hi, I just need your help once more in order to let me understand and be able to translate the following sentences properly:

He had nailed those ice-cube-sucking men dead between their eyes-those tight-assed patrician Republicans who, Danny believed, had made her the anarchist rule-breaker she was. She was a trust-fund kid who'd reinvented herself as a radical, but she'd been a faux revolutionary.

Here, I need to know what he means by 'nailing ice-cube-sucking men dead between their eyes' (ice-cube-sucking must be used to emphasize how snob they are, is that right? But what about nailing dead between the eyes part?) and who are called as 'trust-fund kids' (are they children of rich families?)

Nor had he learned to choose more wisely, perhaps he'd purposely decided against choosing to be with anyone who so much as hinted at the promise of permanence.

I couldn't understand what the decision would be? Can someone explain it more clearly?

The dog was used to being spoken to; it usually beat getting mauled by a bear.

I couldn't understand 'beat getting mauled' here. Can somenone clarify what he means?

The FAA reported that all inbound transatlantic aircraft entering the US had been diverted to Canada. "Oh, that's brilliant!" she said to the TV. "I might have begun with that idea a few fuckin' monthswere from Boston ago! Like I suppose ya thought that the fellas fly-in' those first two planes !" But the television ignored her.

TV talks about the Sept, 11 attacks but what does she say to TV? I couldn't understand the irony here.

Thanks in advance for your help.