What is the ruling of Islamic law concerning a husband who restricts his family and alters the system of the family home, claiming to apply his wife's religious practices and her complete wearing of the hijab, even though all safety conditions are met?

Your two brothers are to be thanked for their eagerness to adhere to Islamic law, especially concerning interactions with non-mahram men. This is due to the existence of Sharia guidelines for men entering upon women, the obligation for a woman to observe modesty and hijab, and the avoidance of unlawful mixing or seclusion (khalwa). An independent home is a wife's right, but there is no harm in living with the family provided that the guidelines are observed. If a woman adheres to the hijab, there is no objection to her passing in front of her husband's brother, or her sitting in a family gathering in the presence of a mahram or someone who negates seclusion, while observing the etiquette of Sharia. We advise seeking wisdom, understanding, easing the burden on oneself, and seeking assistance from Allah Almighty.