Not really, MTK is a tool for generic, nonlinear acausal modeling. As such, it can of course model simple LTI systems, but there is not much infrastructure in place to handle this special case any different from a fully generic nonlinear model.
If the model you have shown above is the full extent of your system, I would consider MTK a bit overkill and instead use something more minimal, e.g.
- OrdinaryDiffEq.jl directly
- SeeToDee.jl
- ControlSystems.jl
The last two options would be much easier to interface with ControlSystemIdentification.
Your model as you have shown it does not make any use of things like model components, connections, algebraic equations, and for such simple system I think MTK complicates things rather than simplifies. If your end goal is a much bigger model, MTK may of course still make sense.