We have often seen people take examples of Bhagavan Sri Rama, Sri Krishna and Parashuramaji, etc., to give explanations on the varna system. However, as per the principles of sanatana dharma the varna system is not applicable to Bhagavan. How can it be applied to Bhagavan Vishnu (or His avataras), for example, who manifests Himself as His Supreme-most or Virat form? Varna system is not applicable to Brahmaji or any other deity either.
We can say that Bhagavan only imposes Himself as brahmin/kshatriya but the varna system cannot be used for Him. Only in this limited view we can say Brahmaji is brahmin and Vishuji is considered kshatriya as He does the job of protection. However, this cannot be concluded in the same way as is used for humans. The grandson of Vishnuji is Bhrugu, was a brahmin. A kshatriya grandfather and a brahmin grandson – this cannot be the varna system of humans at all.