How? There would be a civil war, with our very own general siding with Thor...
We would be fked, nay... we are fked. (if Thanos has used the Mind Stone)
EDIT: So... removing the sanctions has suddenly become a very no-no thing.
Well you see.
Thor would effectively be a sleeper agent. (Or at least that's how I think thanos would use him)
So
Here's my brilliant plan.
Step one : Do a good job and get the people to like us
Step two : show that thor has no intent to lead.
Step three : when thanos shows his hand claim that thor is not acting himself.
Step four: utilise this by requesting thor submits to tests to check their are no external influences affecting him (bluff of necessary)
Step 5 (if he refuses ): use this to spread rumors that thor is being mind controlled
Step 5 (if he accepts) use the machine (if we have it ) or have the top magic users check him
Step 6 : use thor's discredited position to in prison him. Taking the throne
Step 7: Do a good job ruling
Seeee how simple and completely un-convoluted that is?
All we have to do is follow the steps to achieve profit.
What could go wrong?