If there's one objection I have to Thomism, it's not with the content so much as the approach I see Thomism offering. See, I'm a big fan of Ed Feser, and due to him, a growing fan of scholastic and classical thought. I've learned a tremendous amount by my spur-of-the-moment decision to buy The Last Superstition when it first came out, and it's done wonders for sharpening my understanding of formal and final causes, of just what Thomists (and Cartesians, for that matter) mean by the 'soul', the obfuscation often in play by materialists, etc. To put it simply, there's a tremendous amount of knowledge there. I'm still absorbing it, and the more I absorb, the more I see how modern philosophy has gone wrong.
But... there is one problem I have. The problem is that Thomism is just not really accessible for the average person. And like it or not, Christianity - while having a ferociously potent intellectual and philosophical tradition - is not thoroughly a religion for the intellectual or the philosopher. And by that I mean is, it seems obviously meant to be more accessible than that. This is not to say that Thomism is not valuable, even tremendously so - far from it, especially as a Catholic. It's that I think Thomistic thought and argument should not comprise the entirety of proclaiming the Christian message, or even the theistic message.
Put another way, I think there exist - while imperfect - more accessible arguments for God. Or at least, arguments for the belief that the natural world is self-evidently arranged such that concluding the intention of a mind or minds from it is powerful, natural, and intuitive. And I more and more think that it's there where the conversation with the modern world really has to start. Simple arguments with strong rhetoric, that give a man a reason to suspect a powerful mind or minds in nature. Not a definitive proof of the Christian God, but enough inference of a mind to give a man reason to investigate further, and to approach the world strongly or reasonably suspecting that it does, in fact, have an Author. And if so, that perhaps there's more that can be learned about this Author.
There's a prominent place for Thomism, even now. There's a place for the likes of William Lane Craig. But there also needs to be a place for the common man - and I'm as common as they come - who simply looks at everything from the periodic table to planetary formation to the human circulatory system to evolutionary theory and says, "This really has the look of a mind's work about it."