Sentence improvement — remove redundant complementizer and fix number/capitalization: prefer 'While we would like all Indian children to go to school …' over 'we would like that all Indian Children …'

Given sentence
While we would like that all Indian Children to go to school, we need to ponder why they do not.

Concept/Approach
After 'would like', English takes an object + to-infinitive ('like someone to do something'). The complementizer 'that' is unnecessary here. Also use lower-case 'children' and concise phrasing.

Correction
'would like that all Indian Children to go' → 'would like all Indian children to go …'

Why alternatives are weaker
'that all the Indian children' → still keeps the incorrect 'that' construction.'if all the children of India' → changes meaning to a condition.'No improvement' → retains structural error and odd capitalization.

Final Answer
all Indian children