I'm truly sorry for both you and your cat that you are being closed minded. I've had both purebreds and mixed breed cats. We had a farm and yes, we've had several litters - but all the adults were eventually spayed and neutered - no matter HOW cute, adorable, friendly, etc. they were.
When I was breeding my purebred cats, I researched pedigrees, carefully selected the RIGHT male to breed to and made sure I had homes lined up before my kittens were even born.
I've also owned several mixed breed cats that I was tempted to breed one time - but didn't, cause I know its wrong with so many sitting in shelters now with no homes or the people who picked up a cute kitten (from people just like you) decided they no longer wanted the cat when it was all grown up. One of them was a very special ODD-EYE black and white - very rare to find - and she never had a litter - she was spayed at 8 months old and had a very sucessful show career - she passed away at age 18.
Now you think that you cat is worthy of breeding????? You don't really know the background; she may or may not have Egyptian Mau in her (I highly doubt it) and you will not find a purebred cat breeder that would be willing to let you use their male. And there is no guarentee that she will have a litter if bred, nor one that may or may not look like her; or that would get along with her.
The longer you allow her to keep coming in and out of heat, the greater the risk for pyrometria (which can kill her) or cancer. You have a better chance of adopting a young neutered male after she is spayed. That is why she doesn't like other cats right now. And read on how to properly introduce cats - don't just throw them in the same room and expect them to get along - it takes time and patience.
Now, back to if you disregard all of our advice.
If you breed her, you should test her for FELV, FIP, and any other genetic diseases she may carry. She should have all shots up to date. Check her for any heart problems.
Are you willing to line up homes with responsible owners before the kittens are born? Are you willing to take back and keep any of her kittens that the owners can't keep - since you really are responsible for every kitten you bring into the world? Are you willing to spay and neuter each kitten before the owner gets them? Are you prepared if she has problems and needs emergency c-section - or if something happens and she dies giving birth - are you willing to hand raise every kitten?
If you honestly love your cat and want her to be healthy and be with you a long time, then spay her now and go adopt a young kitten.
BTW most of my purebred cats were "in your face" cats - they loved people, got right in your lap, followed you around and were super people friendly