Conscientious objectors do not get any exemption from paying taxes for wars. SCOTUS says this is a tax.
What if a company split itself into 2 companies? One employee has the same employees as the second, but the shifts are different? Both employees only hire part time employees, and the wages given to the employee equal what a company would have paid had they had a full time employee working and had to pay for insurance? Employee could purchase their own private insurance. Would that be legal?