No one is suggesting vegetarianism as a panacea for global warming. It could help but, as you point out, there are many other more important factors. If you want to raise your own chickens or other livestock instead of eating food shipped around the country or planet, I would only encourage it.
From your own link, it is clear that the Inuit are facing far larger problems than the EU ban on seal products - from which their products are exempt anyway. They manged fine for thousands of years without an EU or other market for seal skins. It is only now, 6 years after the ban, that the Canadian government is even bothering to put in place branding that allows Inuit furs to be distinguished from those with other sources (mainly the east coast "hunters"). The USA is also planning to put a similar ban in place. It is nothing to do with "animal rights extremists" but just that when people see the deaths required to obtain furs and meat from non-domesticated animals etc, they lose their desire to use them.
It is unlikely that the income from being able to sell these furs to a few rich European women would save the Inuit from what are mainly the actions of their fellow Canadians and government, climate change and oceanic pollution - which makes their traditional food sources toxic with mercury, other heavy metals and PCBs.