And you and I are free to give to charities to do that for that reason. Government has no moral authority to do it with confiscated money and no Constitutional authority to do it at all.
Freedom does not mean freedom from personal responsibility. In fact, it's lack of freedom that accomplishes that.
If you believe that government money is confiscated, then you obviously do not believe in the U.S. Constitution. The Constitution gives the federal government the authority to tax, so it's money is not 'confiscated'. You are contradicting yourself.
The government certainly does have the constitutional authority to provide birth control, if it is considered to be in the interest of the "General Welfare" of the American people.
The American people have the right as individuals to their own religious beliefs. To many people taking birth control is exercising personal responsibility. That may not be your belief, but you do not have the authority to dictate your interpretation of 'responsibility' to other people.
Therefore the government may provide birth control to facilitate people exercising their personal responsibility if it is deemed to be in the interest of the "general Welfare' of the American people.