I want to know what rights I have to stabilization.?

Your a soldier you knew that it wasn't going to be easy if they need you to go they need you to go. Your 1SG may be able to pull you if they get over strength but the odds are that it will not happen because it's always better to have too many people than too few. Your wife knew when she married you that you were in the military and you two should have discussed the hardships of her being a military spouse before getting married. My wife knows that she will almost never see me but we agreed that that would work out because her job will also not provide alot of together time either so we will end up seeing each other when we retire but until then it will be ok and we will work through things.