Of note, earlier posts posited whether these ships or the Dream class could navigate the Alaskan waters and whether they could transit the panama canal.
For Alaska, that's an easy 'yes'. Those waters are easily navigable and 135,000 tons, while large, is still smaller than the super tankers that regularly ply those waters.
The Panama Canal is different. I'm unsure of Dream's dimensions, but the PC super-PANAMAX (3rd lock) can handle a vessel of approximately 120,000 tons displacement. The truly important issue is the beam, draft and height as well as length in order to fit in the locks. Displacement isn't always a direct correlation from dimension. If I remember correctly, super-PANAMAX can accommodate ships 1200 feet long, 160 feet in breadth with a 50 foot draft. Yes, the Bridge of the America's will limit your height (190 feet I think).
Just looked it up for Dream:
Length: 1114 feet
Beam: 137 feet
Draft: 27 feet
Height: 217 feet (ouch!!!)