Perhaps a better way to frame the question might be, "would you support the government collaborating with Christian cab drivers so that cabdrivers who won't carry women to abortion clinics will have a cab light that's a different color. That way, the airport workers who hook up travelers with taxis can steer abortion-seeking fares to cabs that will take them. Airport officials hope to have the lights ready by the end of the year."
No. Taxis are a form of public transportation. The woman has a right to be transported anywhere she wants to go. If a cabbie doesn't want to transport women to abortion clinics, he shouldn't be a cabbie.
If Mulims don't want to transport alcohol carrying customers, they shouldn't drive taxis.