The idea that the dems think Walz is going to play well inrural America is really funny....and it shows how out of touch the dems are. This Walz guy is left of Harris.
No. Your spouse will automatically become a legal resident (Green Card Holder) as soon as she enters the US via her spousal visa....once her visa is stamped at POE. A plastic Green Card will be mailed to her once she is inside the US (and you have paid the immigrant fee). No need to "file for a Green Card".
I got my ARC back in 2015. I went through an agency to get that FBI background check. An agency also took it to the TECRO office in DC for the authentication as part of their service. I also had to get a tourist visa from the "consulate" in Houston in order to change my status. I seem to remember using a variety of sources for the process. After I submitted all my paperwork in Taipei, it took about 2 weeks to get the actual card.
If you entered the US via a K-1, you do not need to submit an I-130 if you married the petitioner within 90 days of arrival. Perhaps studying the VJ guides for adjustment of status will help.
I speak just from my personal experience. In our case, we just found it easier to just keep her last name. After 9 years of marriage, it has not an issue in any way, including joint taxes. I think Shakespeare wrote "A rose by any other name would be just as sweet".
Ask if she falsely claimed to be married when she applied for the B2 visas. That happens, sometimes, when agencies fill out the forms. Generally, B2 denials, if due to lack of ties to country, will not affect a K-1 or a CR-1.