Family Feud - Dog and Cat Fighting?

I have many animals. Two of these animals cannot get along very well, my dog (a Lhasa Apso mixed w/ Scottish Terrier and Jack Russel Terrier, 4 years old) Misty and my cat (long haired marmalade tabby 9 years old) Butterpatch.

As for Misty, well, she tends to chase my cat outdoors while indoors she is as harmless as ever. Butterpatch does not like Misty at all and has every bit of power over her--yet he does not use it.

Does anyone know how to stop them from fighting?

We have had a few dogs before Misty, one was Sophie (a German Sheperd and ???) who was young and always chewing things. Luckily, none of those things was Butterpatch, but one happened to be my little Rooster Chicken named Sunny. We had five chickens, 2 roosters and 3 hens--Sunny was eaten before he could see his permanent home. Another dog was the most recent, Hank. He was a Border Collie/Pointer/Lab. He loved to lick and bark--and bite. Fortunately, they were only friendly bites and any bite he issued was NOT to my cat. He was virtually unharmed.

Thanks so much,
Natalia--Austria-Colorado