Hi
Just wanted to say my LO was diagnosed with milk, soy and egg allergy, I too felt something wasn't right form day 1, he had exactly the same symptoms you mention, the cat purr wheeze sound is a classic symptom.
It took me four months of GP appt's before anyone would listen to me, sounds as though you have a GP who is taking you seriously s hopefully you can get things sorted quickly, once we changed formula for DS he was a different boy.
Good luck