It would be difficult to establish a legitimate Stuart line nowadays in any case given the number of legitimate male descendants drying up even if religion had not been an issue.

Having exhausted the male line descending from James I and VI the principle of male preference primogeniture would then have had to go through the female line from James in any case. We would have missed out on George I and George II (perhaps not overall a bad thing ) but otherwise would have pretty much ended up with what we have now (with a certain amount of regnal renumbering).