I have been working on a project with both Angular Material and Ionic. The current version I am using is Angular Material V13 and Ionic V6 (Before I used both Ionic V4 and V5 with Angular Material as well, there is no problem). So far everything else is working fine (It is a PWA web application only, no mobile app or desktop) except for one issue that I am facing: [ Facing issues using Angular Material Datepicker in Ionic modal].
But you can work around use the default Ionic datepicker. I tried it and there is no issue on that. Other than that, I think you just have to work on some style changes to make the fields control fit in and look nice. Nothing functional that I have noticed so far.