Starting a war with Canada would just accelerate the collapse, kind like Russia invading Ukraine is doing.
Further, a land-bridge to Alaska actually adds to the problem that it costs as lot more money to maintain a military and administrative presence there than the money it generates because now you have to ALSO maintain a strong military presence in BC and Yukon all the while the locals are trying to fuck you up and the rest of Canada is engaged in guerrilla warfare not only there but also against the US presence in Alaska.
Even at best the US would be militarilly bogged down for DECADES in an Occupation of part of a country whose people look exactly like Americans and speak the same language whilst being extremelly pissed off, in a area with incredibly porous borders, borders which such action would have just extended to be far bigger and crossing even more far out and wilder land, all for the sake of a piece of land that even before such an extension and the necessary military occupation to hold it against the enemy next door thus created, did not actually pay enough for its upkeep.
Even more entertaining, whatever natural resource extraction that could be done to pay for it, can already be done since the Alaska is US territory (so there must be good reasons for that not to happen), only under such a scenario it and any transport links for whatever it extracted would be the target of Canadian drones, which it is not now.