Can be tiger and monkey be compatible.....but we both love each other

I am afraid that this may not be a good pair according to Chinese astrology. Both of you are self-awareness and are likely to lead other people. The marriage does not change your charateristic and cannot think about the other. You still care about yourself and seldom pay attention to your family.
But if you love each other, things may be changed. Love the foundation of everything, so do not worry about it.