To get back to the topic of how this will affect history I'll give it a go.
1860s: The Russian Empire is in a difficult financial position. So the tsar decides to sell Russian Alaska, Chutkoka, Magadan and Kamchatka to the Americans for the sum of about $14 million dollars in 1867. (Used new map area as was called something else but its easier to show what it looks like so see link)
http://en.wikipedia.org/wiki/Russia
1870s-1880s: The Territories of Alaska, and Kamchatka are founded. There is some settlement but not much.
1890s: Gold is discovered in Alaska , Alaskan/Klondike gold rush begins. Some go looking for gold in Kamchatka, but due to an even more hostile climate very little is found, but it does bring settlement to region, not as much as to the Alaskan Territory but again some, US navy builds small port in southern Kamchatka as a coaling station and increase American presence in the region.
Spanish -American war starts with a port in Kamchatka US Asiatic Fleet is better coaled, victory in Philippines goes about the same as OTL .
1900s: (to be fill out with interesting things)
1917: Russia Revolution happens, US aid to white forces is sent thru Kamchatka. (and its getting late so I'll stop for now)
I'll flush it out some more later. But its a start, oh and Hey Cicero. So anyone have anything to add?