The main reason I would be concerned for an "inclusivist" person, is not because I think that such a person could not possibly be personally saved, because of his faith in (the true) Christ.
Firstly, it's because of Christ's own exclusive claims, which then calls into question "which Jesus?" the inclusivist is actually believing in.
Furthermore, if a person isn't convinced of the exclusivity of the Lord Jesus Christ, then how firm is their own commitment to the Jesus of Scripture? This is a person who (from the earthly standpoint) is susceptible to divergence onto some, spiritual "improvement" track over the Christian religion. In other words,, if Jesus isn't the only way, then how can one be truly certain that Christianity is the BEST way? His personal commitment to Christ is somewhat cultural, somewhat pragmatic. It is not based on the kind of conviction that without this receiving and resting he would be lost--but that there might be another refuge in a storm.
Finally, the inclusivist's commitment to evangelism is questionable, because who then needs saving from their false-objects of faith (idols)? As one of them has famously put it, rather than making Christian "followers of Jesus" out of them, just encourage them to be "better [insert false religion] followers of Jesus."