Take for example greece which is proudly christian yet proud of its ancient hellenic culture or egypt which is proudly muslim yet also aware of its pharoic past? It would require introspection and education of vedic/hindu roots but somewhere we can even work with india on.
No because our Vedic roots are mostly ours, not India's. Should Greeks work with Italians when celebrating their Hellenic history?
Keep in mind ancient Romans had equivalents for Greek deities, but Greek heritage is Greek.