The problem with the Socialists is that the radicals are going to defect to the new Communist Party once the Russian Revolution happens. The Democrats and Republicans will continue to cherry pick ideas from the Socialists. Socialists will remain about 3-6% level of popularity. Being Oklaholma, any socialist votes will likely be farm based, not labor based.
If there is a significant sociliast vote in Oklaholma, it'll probably be the local equivalent to the Minnesota Farmer-Labor Party. It will elect the occassional politician, have a high point during the Great Depression, and eventually merge with the local Democrats so that the center-left vote is not split.