If I had a choice, and I knew in advance of my selection what the religious convictions of various photographers in the area were? No.
		
		
	 
Let me be more specific. You live in an area with three wedding photographers who could conceivably provide services. Everyone else is already booked.
Let's also say you live in a place where photographers are legally allowed to discriminate in the manner being discussed.
You ring person A who is available but says 'and is this a traditional wedding?' and after a small amount of discussion, the photographer says 'I don't photograph gay weddings, personal policy'.
You ring persons B and C and they do not appear to have any problem with a same-sex marriage and you discuss services and prices.
Now imagine the same scenario, but A, B and C are all compelled to not discriminate. A still asks if it's a 'traditional wedding'--he still doesn't like doing gay weddings--and you can tell he is not keen to take this on. But he's already indicated he's available.
Would you want to hire A in either scenario?
	
	
		
		
			But that is not as likely a scenario as you seem to think it is. And frankly I would prefer to hire a photographer who, regardless of their personal beliefs, could be a goddamn professional about it. I hate the ever-living fuck out of rich assholes and their twatty faux-gilded aesthetics, but if I were a photographer that would not result in me turning down contracts for extravagant weddings. My personal prejudices, be they earned or unearned shouldn't have anything to do with whether I turn up and do my job or not. What the hell ever happened to growing up and growing a pair?
		
		
	 
If you've been paid to do a job, then absolutely you need to turn up and do it.
But some people who are wedding photographers may have other jobs or other independent sources of income, and it's a semi-professional 'hobby'. Even when it isn't a hobby, not everybody works full time or wants to, and some times somebody might just want a Saturday off. And sometimes people don't like gay weddings and they don't think it's worth the effort.
I'm continually amazed by the posters on here who appear to agree with me that no gay person would actually want to hire such a photographer. What I don't get is why it's so hard for people to 
actually say it.
And what I also don't understand is the references to Jim Crow - which were state and local laws that enforced segregation and were not a reflection, therefore, of individual prejudice.
And what I also don't understand is the denial that specialist services will spring up as soon as there is a market gap. laughing dog called this a frothing libertarian wet dream (or words to that effect).
I sometimes wonder if laughing dog lives in the same universe as I do, or perhaps, because he isn't gay, he doesn't notice the endless chasing of the pink dollar. 
But all you have to do is google 'gay wedding services' or 'gay wedding photography' to get long lists of people who 
specialize in gay weddings. And just browsing ordinary photography services, many list their LGBT+ friendly status.
But even if I'm wrong (and I'm not wrong), I still don't know why you would engage a wedding photographer who hated your union, and I don't know why they want the State to compel them to do so.