You should not be bothered by this type of ringing, or you should, depending on the application, but you should understand that ringing is natural for these kind of filters. It is not related to the PM of the opamps but is related to the structure of the filter itself and the fact that different biquads work with some obvious amount of Q, hence there is ringing. This type of ringing is related to the phase response of the whole filter and also to the group delay. If you don't want the ringing, you should use a linear phase filters, for which the phase changes linearly with frequency. For example Chebishev and elliptic filters have good magnitude response with regard to steepness but bad phase response with respect to linearity and one should expect them to ring a lot. Butterworth is also not great when it comes to phase response but is better compared to Chebishev and elliptic. Probably best of all in terms of phase is Bessel filter but it is not steep for the same order. That's why people usually choose Butterworth as a compromise, because it's relatively steep, it has maximally flat magnitude response and not a lot of ringing i.e. not very non-linear phase response.