What is the way to overcome regret after breaking off an engagement with a suitable person who, however, was not committed to respecting his family and mine, and will Allah compensate me with someone better than him?

The most beneficial treatment in this situation is contentment with what Allah has decreed. Remember that dwelling on what has passed allows Satan to enter through regret and sorrow. It has been narrated in the Hadith: "A strong believer is better and more beloved to Allah than a weak believer, and there is good in both. Be keen on what benefits you, seek help from Allah, and do not lose heart. If something befalls you, do not say, 'If only I had done such and such,' but rather say, 'This is what Allah has decreed, and whatever He wills, He does,' for 'if only' opens the door to Satan's work." Furthermore, how do you know that marrying him would have been good for you, especially since he does not respect his family or yours? So, do not grieve over what has passed, but rather look forward to the future, entrust your affair to Allah, and ask Him to facilitate your marriage to a righteous man. We also note that it is permissible for a woman, according to Sharia, to seek a righteous husband and to offer herself to someone she wishes to marry, provided that Islamic guidelines are observed.