Fair enough about Google, but this (i.e. "...have...would...") can be also found in scholarly articles, and in countless cases in the British National Corpus.
Check
Cobuild Concordance and Collocations Sampler by putting if+PPS+VB+6would in the search box. [it means that it will search for "if+Personal Pronoun subjective (I, you, he, etc.)+present tense verb+would within 6 words]
Some returned examples:
if you become the First Prize winner, you would receive a message through official channels
If I survive this extraordinary campaign she would become his wife if I answer that question honestly I would rather be across the street
Trust me, it's grammatical
