Except...this isn't OTL. The Ottoman empire will most likely modernize along with the rest of the world, perhaps slower (something I might see, if not for much more than all of the different groups in her boundaries) or faster, considering as how the entire Arabian peninsula is unified at this point. The Ottoman empire is also pretty much a constitutional monarchy (if it wasn't in OTL, it probably is right about now anyway), so while some parts of it may be under Shariah law, it is unlikely for too much of it to seep in, I'd think. It's also entirely possible that, over time, the Ottoman empire may start to westernize, or at least being more open to such things (though this more depends on the sultans in Istanbul than anything else), so a modernization is far less likely to be hostile or whatnot, I'd posture. I'd say it's very likely that, in the future, the Ottoman empire is going to be a very powerful nation, especially when one of the larger powers collapses and leaves a vacuum for a new superpower niche...(probably similar to how China is rapidly replacing the former Soviet Union as the U.S.'s 'main' competition).