My parents met in a state hospital setting in 1980. They are both mentally ill with schizophrenia, but differ dramatically with their symptoms. They are still married and love each other dearly. That is the only healthy thing about either of them.
I would not recommend entering a romantic relationship with someone with schizophrenia, especially if you suffer from it also. AND for the love of God, do not drag children into the mix. I'm not telling anyone to not have children, because, well, I wouldn't be here if that were the case. I'm just saying that it is a rough and tough road for a child with schizophrenic parents.
Short answer = NO! sorry