I know OP already has bought other tickets ... but I also would vote not to do this.

I recently arrived on Swiss. I was in F ...second off the plane....the tail end of a previous flight still going thru immigration....I was 3rd or 4th from my flight in line at passport control....had to wait about 10 mins for luggage. Did not take very long to get thru customs...dropped off my bags (already checked thru)....rushed to get thru security again (almost empty)...and barely made a connecting flight 2 hours after touch down.

Nope...I would not risk it.