You can't really compare the two in just pictures and specs.
When it comes down to I think everyone can agree that the major distinction is that the tikit is more refined and standard bicycle while the Brompton is a more refined and standard piece of luggage. However, the two are very similar so it boils down to what your priorities are, how strict your requirements are, and where you're more willing to deal with "rough edges".
Want to change the fit on your Brompton? You'll have to work a bit harder. Want to take your tikit on a crowded subway? You'll have to work a bit harder. But basically any actual role you want to fill with one you should be able to fill with the other.