Sure, but going to Sheev because we think it will salve our worries, after Obi-Wan instructed us otherwise, and without non-Jedi allies, ain't the way to do it. Moreover, we've been all but told that our choices aren't mutually exclusive, and that what we're actually deciding is the order of events (and thus how later events are impacted by earlier ones) -- although, taking the longest-lasting option of seeing Padme might mean locking ourselves out of at least one more immediate option on Coruscant.
But if we are to face Sheev, I'd like to do it with the backing of not just a united Jedi Order but also at least some third parties, and on our own terms rather than running to seek his help with adversity.
(All of the above said, I am not averse to seeking aid in the Senate at this juncture and may edit in an approval-vote to that effect at some point.)