Re: They could
"Dredge out the bottom so the sea level went down."
That, clearly won't work as water finds it own level...and dredging the bottom of the river will just allow more water to fill the gap.
"Or flood the bilges and lower the boat."
That makes more sense...as long as the bilges are large enough. Another option would be to add more ballast so the boat sits lower in the water
"Or replace all the bridges with London Bridge type opening bridges."
OK - that's the one - and as you thought of it first, so can you send them some money to cover the costs of your brainwave please.
PS I think you meant TOWER Bridge. :-)