It could, but under the current system, candidates who are affiliated with major parties (i.e., essentially everyone who ends up winning an election) already need to win the support of their party, and the process for this is generally opaque and largely controlled by often less-moderate insiders

Also, having viable third party choices puts more pressure on larger parties to field more widely palatable candidates, or risk losing their majorities

I just think that seeing the current gerrymandered districts where I live and the crazy people who come out of the party, I would rather voters choose individuals than parties.

If someone doesn’t tow the party line, the party would immediately replace them the next year and this would give parties even more power.