Orthodox Judaism and "conservative Christianity" (how vague can you get?!) of course have precious little in common theologically, historically, or culturally.
Indeed, Orthodox Judaism has its traditions, but although it has stuck to some very strict rules on ritual and dietary practices, it has been extremely permissive on technological innovations. It allows extensive freedom on what the Torah and Talmud does not specifically prohibit. But it has very old traditions. In contrast, "conservative Christianity" is mostly "conservative" on political issues and has at most a century and a half of existence in theology.
With 'conservative' Christianity, Biblical inerrancy mandates the denial of scientific discoveries that in any way contradict the literal
WORD in any detail -- including the chronology and the extreme ages of early characters of the Bible. This, contrary to its claim to tradition, is comparative novelty. Even the word Fundamentalist dates from 1922. In contrast to Orthodox Judaism, which is the original Judaism (and both Modern Orthodox and Reform Judaism recognize Orthodox Judaism as the original Judaism), Fundamentalist Christianity is a break from older Christianity.
The 'conservatism' is more on politics than on ritual or even living ways.
If Protestants wish to rediscover the old Christianity whence Protestantism appeared, then the Roman Catholic Church awaits them.
All current Protestant denominations are either heresies of the Roman Catholic Church or are heresies of other Protestant denominations.