At least with the Epistle to Titus, Homily 3, you are cherry picking.
The quote you use is taken from the section that is discussing Titus 1 verse 14.
See the whole commentary on verse 14 below:
newadvent.org/fathers/23083.htm
Chrysostom says:
Ver. 14. “Not giving heed,” he says, “to Jewish fables.” The Jewish tenets were fables in two ways, because they were imitations, and because the thing was past its season, for such things become fables at last. For when a thing ought not to be done, and being done, is injurious, it is a fable even as it is useless. As then those ought not to be regarded, so neither ought these. For this is not being sound. For if thou believest the Faith, why dost thou add other things, as if the faith were not sufficient to justify? Why dost thou enslave thyself by subjection to the Law? Hast thou no confidence in what thou believest? This is a mark of an unsound and unbelieving mind. For one who is faithful does not doubt, but such an one evidently doubts.
Titus 1:14-15 says:
14 Not giving heed to Jewish fables and commandments of men, who turn themselves away from the truth.
15 All things are clean to the clean: but to them that are defiled, and to unbelievers, nothing is clean: but both their mind and their conscience are defiled.
It seems to me the passage in Titus and Chrysostom’s commentary is just saying that you are not under the Jewish law (ceremonial apparently in this case). Why do you choose to read more into it than is actually there?