No, both are/were at war with what is written by Moses in Genesis, especially when you consider the religious fervor attached to most of the evolutionists...
How would evolutionists feel about teaching that life came from outer space? They already teach the Big Bang theory, don't they?
Both are immaculate conceptions...
The BB theory is taught as a theory, one about which understanding is evolving, BTW. Evolution is fully understood since we created it ourselves; it is not a theory so much as a classification system.
Panspermia is an hypothesis. I wouldn't teach it 'til college.