Sort of. The term "unable" can suggest that it's a matter of force. It's not so much that they're unable as that because God's grace removes stumbling blocks, they are now capable of faith, and that once restored in that way they inevitably come to faith.
It's clear that you're finding it hard to know who to believe. I'm going to quote the relevant section from the canons of Dordt. Canons of Dort. That's pretty much by definition a reliable definition of TULIP, since that's really where it came from:
"However, just as by the fall humans did not cease to be human, endowed with intellect and will, and just as sin, which has spread through the whole human race, did not abolish the nature of the human race but distorted and spiritually killed it, so also this divine grace of regeneration does not act in people as if they were blocks and stones; nor does it abolish the will and its properties or coerce a reluctant will by force, but spiritually revives, heals, reforms, and—in a manner at once pleasing and powerful—bends it back.
"As a result, a ready and sincere obedience of the Spirit now begins to prevail where before the rebellion and resistance of the flesh were completely dominant. In this the true and spiritual restoration and freedom of our will consists. Thus, if the marvelous Maker of every good thing were not dealing with us, we would have no hope of getting up from our fall by our own free choice, by which we plunged ourselves into ruin when still standing upright."
This takes more or less the view that Augustine did: that the fall corrupted our will and grace renews it. It's not that God forces the reprobate to do bad things, but that with the fall they lost the ability, and there's no way to get it back without God's grace. Grace renews the will and allows us to follow Christ. I know you've heard a different approach. But there's a lot of unreliable information about Calvinism, much (though not all) of it from people who hate it.
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Toodles. 
