We propose a formally defined method to transfer the core of class-like models lossless between domain-specific frameworks and evaluate that for two frameworks. By establishing common modeling concepts and a command interface, we wrap structurally different meta-modeling approaches to exhibit bisimilar behavior for meta-models (M2) and user models (M1) across frameworks. Modeling approaches share concepts such as instantiation and inheritance, but exhibit different syntax and semantics. Porting models from one domain-specific modeling framework to another requires dedicated conversions and, after porting, working with the model can be different. We identified 17 common concepts and features. Using these concepts, we derived a framework-independent model interaction interface based on CRUD commands. This interface allows the creation of M2 and M1 models without worrying about the individual syntax and semantics of a framework. M1 and M2 models can be queried and edited with identical commands and the results are identical for different underlying domain-specific frameworks. An analogy of labeled state transition systems (LSTS) and our interface prevents model inconsistencies and ensures safe continuous model modifications. Moreover, comprehensive tests can be derived that verify that a wrapped framework simulates our interface and, thus, two wrappers form a bisimulation as long as dedicated framework assumptions are valid. In a case study, we evaluate the effort and practitcability of wrappers for pyecore and adaeoq. The results demonstrate the feasibility and show that meta-models and user models with thousands of elements behave bisimilar while the implementation effort is acceptable.