I can only answer the questions as far as it pertains to immigration issues since I am an immigration expert. I can briefly answer the parts that related to financial issues in the divorce. I can tell you first that she will not be able to stay in the US if you two divorce because she will no longer have an H4 visa. The only way she can return to visit is if she is given a tourist visa B1/B2.
In most states even if she does not agree, you can get a divorce. You will have to check with a local divorce attorney in your area for the specifics. Technically even if she leaves the US, you must still pay alimony and child support. But of course, if she is not here, it will be difficult for her to enforce that. If the home is under both of your names, usually the court will either ask you to sell the property and split it or to buy her out of the property. I do not know about Indian law so I cannot tell you what will happen with a divorce there.
Good luck to you during this process and I hope this answer has helped you!
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