nomachlokes

I can’t speak for touro but I know that for YU there are two parts. One part is the undergraduate side (where seder and shiur are part of the day) – no non-jews are in this program to my knowledge, also not sure what interest they would have in having seder and shiur being as how it doesn’t mean anything to them.
The other part is the graduate school (no seder and shiur – just secular studies) which many non-jews are a part of.