Nope. Most woman want a faithful, monogamous man. They are NOT interested in being wife # anything except one.
Sure, most women want a monogamous Alpha male.
But many will share an Alpha rather than settle for a monogamous Beta.
Alpha males often have several women on call (and the women know it), whereas single and available Beta males often spend Saturday nights alone.
When I was much younger, and working in the film industry here in L.A., I knew such Alphas. Men with several girlfriends, competing for his time.