Story gear is enough to run MSP 1-3, which is what i think op is trying to run. 1 to 3 has no enrage time and little to no mechs. I'd say MSP is actually easier now than when it got released, taking into consideration, ofc, the gear ppl had back then and have now. No one with story gear should be getting kicked from 1-3, they are getting kicked because ppl wana rush through it, not because it cant be done. No enrage time, no dps requierement.
So, @LizZard, i think you've just been unlucky with the ppl you tried to join. I have 2 alts that are fresh out of story and ive had no issue getting into 1-3. Make sure you are joining 1- 3 parties, since yes, you are undergeared for 1-6, and daily only needs up to 3 anyway.