1) "I will not accept the truth that I will be jealous if you have a boyfriend unless you accept the truth that you will be jealous if I have a girlfriend"
and
2) "I will not accept the truth that I would be jealous if you had a boyfriend unless you accept the truth that you would be jealous if I had a girlfriend"
both qualify as standard English usage. They differ in the degree to which they describe a hypothetical situation. Both versions describe a potential situation rather than an actual one, but that situation is further removed from the present in version 2) than it is in version 1).
All that being said, I found your query sentence difficult to understand without reading it more than once. It would benefit from being simplified -- for instance:
3) "I won't admit that I'll get jealous if you have a boyfriend unless you admit that you'll get jealous if I have a girlfriend"