Yes, gastroesophageal reflux disease (GERD), commonly called acid reflux, is now deemed to be a major factor in the development and worsening of asthma also referred to as reactive airway disease (RAD). There is a confirmed genetic basis for the development of asthma but not everyone with the “asthma genes” will go on to develop clinical asthma. If one is genetically predisposed to asthma, indicated by a strong family history of asthma, it may be worsened by allergy, infection, exposure to dusts, fumes and toxic gases.
The first step for you and your doctors would be an assessment of the factors, in your home and work environment that may be making your asthma so difficult to control. If allergic, the control might involve desensitization with allergy shots and/or a change in environment. You are currently taking all but 2 of the major asthma medicines: Singulair® (montelukast sodium) and Xolair® (omalizumab).
Not all that wheezes, however, is asthma. You and your doctors must confirm, without a doubt, that asthma is the correct diagnosis, since other conditions can mimic asthma, the most common of these being vocal cord dysfunction (VCD). Most doctors are familiar with this condition and it can be searched for by direct observation of the vocal cords, especially when your “asthma” is bad and/or by pulmonary function tests (PFTs), which include an inspiratory flow volume loop.
You should also have a chest exam and chest x-ray to rule out other, unexpected, lung disease that can cause wheezing, a prime example being cystic fibrosis (CF).
Good luck.