If you're tanking or expecting to solo? You'll need improved expertise at the levels you'll be able to take them on
For the most part if you take a str based route, still do your best not to compromise Dex/con/wisdom too much. Potentially, you may have to just stay on a flanking role, perhaps with some stealth skills for between encounters so you aren't targeted immediately (need them to lock onto your actual tanks first.)
Generally the reversal of str/Dex and lack of further investment in Dex equates to about a 3 - 5 AC loss (depending on how its built), which is significant, but as long as you don't compromise on the other abilities and tumble, get your AC where you can, it should still work out for most things.
Early on and late game content may present more difficulties than is normal for a monk but the flaws of the individual are covered by the strengths of the group usually. Monk is a teamsport.
You may or may not consider using a 2h weapon to get that strength modifier and a better critical range. Eventually the fists do get on par with a weapon but being able to have enchanted gloves on top of a two-handed weapon is one (slight) advantage over a monk that only has the one item slot to work with, having empty hands and being able to Improved Disarm someone to take their weapon and immediately use it on the opponent is a fun gimmick too.
I won't say it's not difficult but like most things you can make it work.