If I was to suggest a "men in medicine" society I would be shunned for trying to make a new generation of 'the old boys club'. In fact, my club would probably be considered illegal due to discrimination. If I was to suggest that moves were made to make medical school 50:50 admission then I would be laughed at despite decades of pushing for increased female intake.
Men are often told we have the best of it but we also have the worst. Homelessness, drug abuse, assault, suicide, car accidents, alcoholism etc are all higher in men. When I did some time doing general practice (primary care) I realised that the amount of men aged 40-80 that live by themselves and are alone is huge in comparison to the amount of females.
Let's keep things simple.
Stop the social engineering. If more men go to school to be engineers then so be it. If a female is in your engineering class then she shouldn't be treated differently- she shouldn't have more chance of getting a job either if she gets the same grades.
If we "need" to push more women into tech then why shouldn't we push them out of other careers in the name of equality.
Edit: For clarity, I don't believe that we should 'rebalance' medicine, I was being sarcastic.