Based on the Catholic Encyclopedia's definition of passion, passions themselves are neither good nor bad - they are simply an appetite that propels man towards a given end. The desire to "be like God" is in and of itself, not a bad thing.
Passion
The problem is not that Adam and Eve had a perverted passion, but rather that their passions were manipulated to be out of the means which God had proscribed.
What you've really pointed out then, is that you can do the right thing in the wrong way, and run contrary to Divine Law.
Temptation
James 1:14 is clear that temptation may begin with a passion, but it is a twisted passion. This temptation by itself is not sin - the same verse goes on to say that this desire conceives, and the child of desire is sin. Desire here is an evil desire, or an evil passion. Conception is what sounds like - it is the result of a passion being joined with something to form a new thing - sin.
The natural law states that when temptation is joined with the choice to act, then it will give birth to sin - hence the free will aspect. The natural law dictates that temptation unleashed gives birth to sin - our proclivity is to turn temptation into something tangible. What that is leads to death.
Divine Law
In the case of Adam and Eve, they fell into the temptation of taking the easy road to Godhood, rather than following the proscribed path.
The Divine Law (aka God's revealed plan) specifically said that this was the wrong road.
Their passion was right, but they followed a natural law that leads to death.
Another way of expressing this
Put another way, you and I (and by extension I mean orthodox Roman Catholic understandings and the effective position of many Protestants) hold abortion to be murder. Thus, we have a passion to stop it. One could achieve that end by murdering an abortion doctor. From a purely utilitarian viewpoint, one might possibly be able to even justify that action, suggesting that the murder of 1 makes up for the murder of hundreds. The "problem" is, Divine Law says, "Thou shalt not kill." The murder of an abortion doctor is thus wrong in any case (except for an actual "just war" which is always the case where killing is acceptable, in regards to theology.)
Thus, we can have a correctly guided passion set against a divine law.
Even a correct passion, incorrectly followed, is a transgression of divine law.
The point of all of this is simple - your passion isn't the problem, your action is. The natural law can compel you to do anything - it is the Divine law that must be followed. Adam and Eve chose to weigh their passion over Divine Law, and thus fell into the consequences of natural law.
If God says its Red, its Red, even if it looks green*.
*(You know, if you're travelling at 75% the speed of light, red can look green - true physics!)