ColdFusion isn't removing the whitespace, it's the browser, or more directly, HTML.
If you output your values like @Tomalak said, or something like this:
<cfoutput query="qMyData">
#replace(qMyData.myColumn," "," ","all")#
</cfoutput>
You will see that the whitespace is there.
Check this out: http://www-sul.stanford.edu/tools/tutorials/html2.0/whitespace.html
You should replace your whitespace with non-breaking spaces to avoid the collapse.