/I wouldn't really consider Thomas Jefferson to be a typical race mixer./
What is a "typical race mixer?"
He would never marry or date a black!!/
Of course not, because he promised his dying wife that he would never remarry and interracial marriage wasn't legal then.
/He did...have sexual relations with some of his female slaves...which supposedly resulted in children once or twice?/
"Have sexual relations." That's a nice euphemism. How about he took advantage of his position of authority and RAPED them? (And if anybody reading this cries foul, think about it: do you really think that Jefferson's SLAVES were in any position to refuse the orders of their master? Knowing what might happen if they said "No?")
/But he tried to hide this from the public. Because he knew it was wrong and was no doubt embarassed and ashamed as he should be./
I agree with you that he should have been ashamed, but for a different reason. He should have been ashamed that he abused his position of authority in order to get sex.
/President Jefferson had sexual relations with some of his slaves...but he would surely never have even thought of marrying a black woman!/
You already said that. You're repeating yourself.
/But it is to bad his careless behavior resulted in the birth of mulatto mutt bastard children on at least probably one occasion?/
Ah, yes. Treating human beings like property and sex objects, fathering children with a teenage girl, not once attempting to amend laws on slavery or abolish slavery - not even for the children he fathered, yes, all of that was just "careless behavior." Whatever makes you sleep at night.