Hey we meet again
I have/had a similar background. Was heavy into bodybuilding before properly starting martial arts. Nope no conflict whatsoever. But it depends how serious your BBing is, if you're competing you'll have to factor in all your rest and recovery, dietary requirements, and balancing all your training.
I never competed in BBing, but at max was weightlifting 3-4 days a week with 2 days martial arts (preparing for gradings and tournaments I ramped up frequency of MA training, and decreased weights). Nowadays I still weight lift, but no way near as serious about it and gaining muscle mass, so I weight train 2-3 times a week and MA about 3-4 days a week.
To me there isn't a clashing but you really do have to factor in recovery. And VERY important, something I did NOT do haha... make sure that if you're weightlifting a great deal, prioritise flexibility and mobility as well. I was never educated as to this and have quite a few tight spots and inflexibilities.
And contrary to the myth, weightlifting is NOT bad for your martial arts, but ensuring you keep balanced in your mobility and flexibility is important, something I'm addressing as task #1 nowadays haha.
Oh and I rollerblade too but sort of infrequently now, really helped the legs and gives em great stamina
So nowadays my exact schedule pretty much is:
M weights + mobility work/'bulletproofing'
T karate
W REST + knee rehab
T weights + mobility work/'bulletproofing'
F karate
S REST + knee rehab
S karate
(Also do pelvic/abdominal 'rehab' everyday, and usually do some sort of whole body mobility/massage work daily too if I can fit it in!)