If you want a secular society where people of any faith can be who they are and have equal rights, I think it's essentially inaccurate to say you oppose the idea of organized religion. It would be entirely fair to say that you do not subscribe to it, or that you believe that it introduces a number of a potential problems in thought, or something like that, but to declare that you "oppose" means that there is some sort of active opposition. It's a verb, after all.
I'm not trying to tell you what you "really think" and I'm not trying to put words in your mouth, but I am suggesting that your statements on the matter seem... underdeveloped. And yes, I recognize that I'm saying that as the guy who just praised the value of the tension created between opposing viewpoints. I'm fully willing to accept though that my understanding of how the concepts I raised are related is itself underdeveloped. I'm sure that's the case, as I myself have at times been able to state my views better. I'm comfortable with those claims as a "high-level" overview of my ideas, but would happily deconstruct them if asked to go into detail. But that seems like it would be getting somewhat sidetracked (although I'm happy to go into it if asked).
Back to your claim of active opposition and a desire for coexistence though, that simply doesn't work. Unless you're incredibly apathetic in your opposition, I suppose, but I'd then point out that you're not really opposing at that point either.
Essentially, to me your claim of that you "oppose" is the same sort of "high level overview" language I used when I stated my views on, say, intolerance of intolerance - potentially good for a surface understanding, but not really accurate if you want to dive deeper. If that's the case however, I'd also argue that making a claim that you "oppose Islam" - if you in fact mean something more nuanced - isn't a good surface understanding given that we do have, in both our countries (running on that assumption that you're from the UK) problems with genuine violent anti-Islam bigotry. Because of that social context, careless language about "opposing" bolsters and lends (presumably) inadvertent support to the real bigots and also contributes to an atmosphere of fear and oppression among Muslims. While in many cases a broad brush is totally acceptable, in some situations, greater caution and nuance is the wiser option.
This is all assuming you do truly want a society where those who want to be religious are free to practice their faith. The other possibility, and to my eyes, the one I don't want to believe without further evidence, because it casts you in more negative light, is that the other of your two claimed values take precedence - that is, that you oppose Islam more than you value a society with freedom of religion. That's a lot more simple, because that's just a mix of authoritarianism and bigotry. I don't want to assume that of you though, so I won't.
To me, that seems to cover all the options. Am I missing a third way here?
I'm curious. You say you are progressive. What does that mean to you?
/As a potential aside, the value of nuance seems to often be one of the main indicators in how liberal or conservative someone is. It seems like the the more liberal someone is, the more they place importance in nuance in both language and understanding of society and culture, whereas the more conservative one is, the more one prizes bold and brash blanket statements (until it comes to a field that person has a lot of expertise in, of course). Kind of interesting.