With the conditions mentioned above, there could be a resolving of the conflict between the two families provided the Lords Capulet and Montague were agreeable to the union of Romeo and Juliet.
While Lord Capulet does not seem to be the initiator of conflict, he is not one to shy from it. In Act I, for instance, Capulet angrily calls for his sword as Montague "flourishes his blade" (1.1.68). For this reason, it would seem, then, that the initiator of amelioration should be Lord Montague, yet Montague is angered when he sees Capulet and is ready to fight; furthermore, he is held back only by Lady Montague.
Lord and Lady Montague love their son dearly, for they are deeply concerned about his melancholy state. Similarly, the Capulets love their daughter as evinced in the protective Lord Capulet's reluctance to speak to Count Paris of his daughter's marrying him:
My child is yet a stranger in the world--
She hath not seen the change of fourteen years.
Let two more summers wither in their pride
Ere we may think her ripe to be a bride. (1.2.8-10)
In fact, it is this protectiveness which acts as a deterrent to the possibility of young Juliet's marrying Romeo more, perhaps, than the feud. For, when Lord Capulet does decide that Juliet should marry, the marriage is determined by him. He informs Juliet that she will marry Count Paris. But, when Juliet demurs, Lord Capulet becomes angry, just as he does when Tybalt wants to kill Romeo.
With Lord Capulet as a rather domineering patriarch, it seems doubtful that he would approve of Juliet's marriage to Romeo, despite his appreciation of the young man's character. Nor is he influenced by his wife, who is merely submissive to his orders; for, she will not listen to Juliet even as her daughter threatens to kill herself if she is made to marry Paris.
In addition, while Lord Capulet does recognize the sterling qualities of Romeo at the celebration for Juliet, he forbids Tybalt from doing anything because he does not wish to upset his guests. Therefore, it seems that he wishes to be the one who controls events. When Lord Capulet is not in control, conflict seems to follow.
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Much less is known about Lord Montague than there is about Lord Capulet since he appears only in the beginning of the play and in the final scene. In both instances, Lord Montague demonstrates his love for his son. In Act I, for instance, he is concerned that Romeo has not shown himself and appears gloomy over a woman. Lady Montague asks Benvolio if he has seen anyone because they are worried about their son.
Lord Montague complains that Romeo keeps too much to himself. So, he would clearly prefer to interact with his son and might be open to Romeo's marriage to Juliet if he felt that Romeo truly loves the girl. However, this is mere conjecture as Montague does harbor hatred for the Capulets.
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