The short answer to all of your "will the" questions is probably "yes". The southwest is desert primarily due to its latitudinal position and cold offshore current. The Southeast would still be humid because of the presence of the warm Gulf of Mexico and warm Gulf Stream that allow for high evaporation. The Midwest would still be prairie due to latitudinal position and distance from coastal influences. Tornado alley would probably still be there due to the seasonal high that's currently generated by the Colorado Plateau, but would be generated by the volcanic one in your concept.
Replacing the basin and range province with a relatively smooth area would have some effects, of which the most notable would be elimination of the vast pluvial lakes that you show in the last image (largely formed by melting of glaciers on now non-existent mountains). Those lakes are generally nestled between two mountain ranges formed (as some theories have it) by shallow subduction of a western coastal plate that bumped along the bottom of the eastern plate rather than diving deep. Like pushing a carpet over a rough floor, fairly regular rumples (the mountains) formed. The deep area of Death Valley probably wouldn't be there, meaning no Lake Manly.
The wild west is characterized by lots of mineral resources generated by the placement of the western ranges. If a relatively cold and solid plate were to take the place of areas west of the Rockies, then it's likely that those resources wouldn't be there. Certainly no California Gold rush, no Comstock Lode, no Cerro Gordo. There also wouldn't be the evaporate deposits that are important (e.g. the soda lakes like Searles Lake, CA or the borax deposits at Boron, CA) to global commerce. There wouldn't be life forms like the giant redwoods or bristlecone pines. There would likely be more prairie elements in the mid coast and the deserts might be a bit wetter without the mountains to squeeze out moisture.