Just "1935", no month, day, hour, minute or second? 
June 21, 1935.
At that moment that the switch went off for the new calendarists, where somewhere they were performing the Divine Liturgy and at that moment the Holy Spirit was descending to change the bread and wine to the Divine Mysteries, did the Holy Spirit, have to "cancel the plans" because some man uttered some words?
The Holy Spirit being God transcends time and space.
And if something happened in 1935 that we were responsible for, does that mean we could have avoided the schism by not doing whatever it was that we did?
No. The schismatics did not pull back from their schismatic renovation and therefore were justly anathemized. If I fall into fornication and my priest justly bars me from Communion for a time as a penance is he to blame for me not being able to recieve the Eucharist or am I?
And before 1935, were all of those people who left the State Church, where they schismatics?
Was St Theodore the studite being a schismatic when he broke Communion with St Nicephorus? Did that Holy Patriarch's Mysteries become automatically devoid of Grace after St Theodore broke with him?
Did the ROAC and everyone else who left ROCOR for reasons of the Faith before 2001 become schismatic? Do you believe that ROAC has Mysteriological Grace? Do you believe that ROCOR lost it in 1994- something which I believe that ROAC does not claim?
The Church had long before that already debated and proclaimed that any change to the calendar would be an act of schism. What was so special about 1935 relative to this?
Yes the New Calender was a schismatic act, and prolonged schism puts us outside of the Church. Was Eve thrown out of the garden immediately that after entering into dialogue with the serpent?
What was so special about 1935 was that after it made been made clear that the renovationists would not pull back from their destructive course they were justly cut off by a synod of Orthodox Bishops.
Theophan.