Forget Timur, you would probably need a pod where central asia doesnt islamise in the first place, and no other exclusive religion takes Islam's place- perhaps the Chagataids go Buddhist and the region is deislamised. Only then could you get a situation where "Hindu" gods are an option that people have in their spiritual lives in central asia. Also outside of abrahamic religions, conversion isn't the best term- there is nothing like the idea of renouncing everything you believed and were before the conversion, nothing like the almost rebirth that a conversion experience implies.
Instead think more- a particular god/ritual takes precedence in your daily ritual life which is a step in your journey. Deciding to put more emphasis on this god or ritual was not some dramatic break with your past life, but more akin to how someone might get into yoga- you learn about it, your friends might get pretty into it so it becomes a social thing too. That's the model through which Islam spread in India to say nothing of how Indic religions had been interacting. In that sense, of religious practices and beliefs as "knowledge" that you learn without it needing to displace everything you learnt before, Mughal rulers otl did believe in for example "Hindu" astrology and the superhuman powers of "Hindu" saints.