Do you think this move by President Obama is going to improve his relationship with the House and the Senate? Do you think this was a shrewd political move by President Obama or a mistake ?
This was a good political move by him, no doubt. The Republicans have 3 options that I can see. They can complain a bit and let them stand, they can take Obama to court, or they can try to make political hay out of it.
If they let the picks stand without doing much, Obama wins because he gets the guys he wanted.
If they take Obama to court and make a big stink out of it, they face an uphill, drawn out legal battle that will probably take almost as long as the appointments last to get resolved. Obama effectively wins there too unless the Republicans get an injunction, which seems unlikely.
If they try to make political hay out of the issue they have to explain parliamentary procedure to America and how they were claiming to keep the Senate working even though everyone knows they weren't doing any work. Then they have to explain how they were fighting against a guy who everyone, even Republicans, admits is super qualified for the post because they are mad about legislation that was passed last year. They will appear petulant and obstructionist. (I seriously doubt they want to draw attention to their obstruction efforts over the past few years)
I don't see a good ending for Republicans in any way out of this, so it seems Obama made a smart call.